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30038242608 = 24331131203909
BaseRepresentation
bin11011111110011010…
…110011010100110000
32212112102020211101000
4123332122303110300
5443004242230413
621444355442000
72112242564223
oct337632632460
985472224330
1030038242608
11118148942a0
1259a38b6300
132aa9294a6a
14164d5615ba
15bac180073
hex6fe6b3530

30038242608 has 160 divisors (see below), whose sum is σ = 97093785600. Its totient is φ = 8808825600.

The previous prime is 30038242607. The next prime is 30038242631. The reversal of 30038242608 is 80624283003.

30038242608 is a `hidden beast` number, since 3 + 0 + 0 + 3 + 8 + 2 + 42 + 608 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (30038242607) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45358 + ... + 249266.

It is an arithmetic number, because the mean of its divisors is an integer number (606836160).

Almost surely, 230038242608 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 30038242608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48546892800).

30038242608 is an abundant number, since it is smaller than the sum of its proper divisors (67055542992).

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

30038242608 is a wasteful number, since it uses less digits than its factorization.

30038242608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203968 (or 203956 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 30038242608 in words is "thirty billion, thirty-eight million, two hundred forty-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 31 33 36 44 48 54 62 66 72 88 93 99 108 124 132 144 176 186 198 216 248 264 279 297 341 372 396 432 496 528 558 594 682 744 792 837 1023 1116 1188 1364 1488 1584 1674 2046 2232 2376 2728 3069 3348 4092 4464 4752 5456 6138 6696 8184 9207 12276 13392 16368 18414 24552 36828 49104 73656 147312 203909 407818 611727 815636 1223454 1631272 1835181 2242999 2446908 3262544 3670362 4485998 4893816 5505543 6321179 6728997 7340724 8971996 9787632 11011086 12642358 13457994 14681448 17943992 18963537 20186991 22022172 25284716 26915988 29362896 35887984 37927074 40373982 44044344 50569432 53831976 56890611 60560973 69532969 75854148 80747964 88088688 101138864 107663952 113781222 121121946 139065938 151708296 161495928 170671833 208598907 227562444 242243892 278131876 303416592 322991856 341343666 417197814 455124888 484487784 556263752 625796721 682687332 834395628 910249776 968975568 1112527504 1251593442 1365374664 1668791256 1877390163 2503186884 2730749328 3337582512 3754780326 5006373768 7509560652 10012747536 15019121304 30038242608