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30361644032 = 210317912107
BaseRepresentation
bin11100010001101100…
…011110110000000000
32220100221210022201112
4130101230132300000
5444140040102112
621540431222452
72123250500426
oct342154366000
986327708645
1030361644032
11119703a15a5
125a74077a28
132b2b297255
1416804a7116
15bca762a22
hex711b1ec00

30361644032 has 88 divisors (see below), whose sum is σ = 63449794560. Its totient is φ = 14503956480.

The previous prime is 30361644031. The next prime is 30361644043. The reversal of 30361644032 is 23044616303.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 30361644032.

It is not an unprimeable number, because it can be changed into a prime (30361644031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2501723 + ... + 2513829.

Almost surely, 230361644032 is an apocalyptic number.

30361644032 is a gapful number since it is divisible by the number (32) 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 30361644032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31724897280).

30361644032 is an abundant number, since it is smaller than the sum of its proper divisors (33088150528).

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

30361644032 is a wasteful number, since it uses less digits than its factorization.

30361644032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12237 (or 12219 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

The spelling of 30361644032 in words is "thirty billion, three hundred sixty-one million, six hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 31 32 62 64 79 124 128 158 248 256 316 496 512 632 992 1024 1264 1984 2449 2528 3968 4898 5056 7936 9796 10112 12107 15872 19592 20224 24214 31744 39184 40448 48428 78368 80896 96856 156736 193712 313472 375317 387424 626944 750634 774848 956453 1253888 1501268 1549696 1912906 2507776 3002536 3099392 3825812 6005072 6198784 7651624 12010144 12397568 15303248 24020288 29650043 30606496 48040576 59300086 61212992 96081152 118600172 122425984 192162304 237200344 244851968 384324608 474400688 489703936 948801376 979407872 1897602752 3795205504 7590411008 15180822016 30361644032