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2930742324 = 223519374289
BaseRepresentation
bin1010111010101111…
…1001010000110100
321120020201010200000
42232223321100310
522000232223244
61202451551300
7132424620156
oct25653712064
97506633600
102930742324
1112743670a4
126995bb530
13379245873
141db338ad6
15122463169
hexaeaf9434

2930742324 has 144 divisors (see below), whose sum is σ = 8307499200. Its totient is φ = 900274176.

The previous prime is 2930742323. The next prime is 2930742337. The reversal of 2930742324 is 4232470392.

It is a happy number.

2930742324 is a `hidden beast` number, since 29 + 307 + 4 + 2 + 324 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2930742323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 681172 + ... + 685460.

Almost surely, 22930742324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2930742324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4153749600).

2930742324 is an abundant number, since it is smaller than the sum of its proper divisors (5376756876).

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

2930742324 is a wasteful number, since it uses less digits than its factorization.

2930742324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4364 (or 4350 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 2930742324 is about 54136.3309063331. The cubic root of 2930742324 is about 1431.0645119447.

It can be divided in two parts, 29307 and 42324, that added together give a triangular number (71631 = T378).

The spelling of 2930742324 in words is "two billion, nine hundred thirty million, seven hundred forty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 37 38 54 57 74 76 81 108 111 114 148 162 171 222 228 243 324 333 342 444 486 513 666 684 703 972 999 1026 1332 1406 1539 1998 2052 2109 2812 2997 3078 3996 4218 4289 4617 5994 6156 6327 8436 8578 8991 9234 11988 12654 12867 17156 17982 18468 18981 25308 25734 35964 37962 38601 51468 56943 75924 77202 81491 113886 115803 154404 158693 162982 170829 227772 231606 244473 317386 325964 341658 347409 463212 476079 488946 634772 683316 694818 733419 952158 977892 1042227 1389636 1428237 1466838 1904316 2084454 2200257 2856474 2933676 3015167 4168908 4284711 4400514 5712948 6030334 6600771 8569422 8801028 9045501 12060668 12854133 13201542 17138844 18091002 19802313 25708266 26403084 27136503 36182004 38562399 39604626 51416532 54273006 77124798 79209252 81409509 108546012 154249596 162819018 244228527 325638036 488457054 732685581 976914108 1465371162 2930742324