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2930568984 = 233474311499
BaseRepresentation
bin1010111010101100…
…1110111100011000
321120020101022220000
42232223032330120
522000211201414
61202444133000
7132423265620
oct25653167430
97506338800
102930568984
111274258942
12699537160
133791b49b5
141db2d1880
1512242bb09
hexaeacef18

2930568984 has 160 divisors (see below), whose sum is σ = 9408960000. Its totient is φ = 834805440.

The previous prime is 2930568967. The next prime is 2930569001. The reversal of 2930568984 is 4898650392.

It is an interprime number because it is at equal distance from previous prime (2930568967) and next prime (2930569001).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2930568984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1954267 + ... + 1955765.

It is an arithmetic number, because the mean of its divisors is an integer number (58806000).

Almost surely, 22930568984 is an apocalyptic number.

2930568984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2930568984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4704480000).

2930568984 is an abundant number, since it is smaller than the sum of its proper divisors (6478391016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2930568984 is a wasteful number, since it uses less digits than its factorization.

2930568984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1955 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The square root of 2930568984 is about 54134.7299245133. The cubic root of 2930568984 is about 1431.0362977489.

It can be divided in two parts, 29305 and 68984, that added together give a palindrome (98289).

The spelling of 2930568984 in words is "two billion, nine hundred thirty million, five hundred sixty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 431 504 567 648 756 862 1134 1293 1499 1512 1724 2268 2586 2998 3017 3448 3879 4497 4536 5172 5996 6034 7758 8994 9051 10344 10493 11637 11992 12068 13491 15516 17988 18102 20986 23274 24136 26982 27153 31032 31479 34911 35976 36204 40473 41972 46548 53964 54306 62958 69822 72408 80946 81459 83944 93096 94437 107928 108612 121419 125916 139644 161892 162918 188874 217224 242838 244377 251832 279288 283311 323784 325836 377748 485676 488754 566622 646069 651672 755496 849933 971352 977508 1133244 1292138 1699866 1938207 1955016 2266488 2584276 3399732 3876414 4522483 5168552 5814621 6799464 7752828 9044966 11629242 13567449 15505656 17443863 18089932 23258484 27134898 34887726 36179864 40702347 46516968 52331589 54269796 69775452 81404694 104663178 108539592 122107041 139550904 162809388 209326356 244214082 325618776 366321123 418652712 488428164 732642246 976856328 1465284492 2930568984