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30305421936 = 2432318218269
BaseRepresentation
bin11100001110010110…
…000000101001110000
32220020000222221111200
4130032112000221300
5444031142000221
621531102211200
72121665556546
oct341626005160
986200887450
1030305421936
1111941691059
125a59283b00
132b1c740a3a
141676c2dd96
15bc5859426
hex70e580a70

30305421936 has 120 divisors (see below), whose sum is σ = 87666234240. Its totient is φ = 9762854400.

The previous prime is 30305421929. The next prime is 30305421947. The reversal of 30305421936 is 63912450303.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 30305421936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3660810 + ... + 3669078.

It is an arithmetic number, because the mean of its divisors is an integer number (730551952).

Almost surely, 230305421936 is an apocalyptic number.

30305421936 is a gapful number since it is divisible by the number (36) 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 30305421936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43833117120).

30305421936 is an abundant number, since it is smaller than the sum of its proper divisors (57360812304).

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

30305421936 is a wasteful number, since it uses less digits than its factorization.

30305421936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9135 (or 9126 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 30305421936 in words is "thirty billion, three hundred five million, four hundred twenty-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 821 1116 1488 1642 2232 2463 3284 4464 4926 6568 7389 8269 9852 13136 14778 16538 19704 24807 25451 29556 33076 39408 49614 50902 59112 66152 74421 76353 99228 101804 118224 132304 148842 152706 198456 203608 229059 256339 297684 305412 396912 407216 458118 512678 595368 610824 769017 916236 1025356 1190736 1221648 1538034 1832472 2050712 2307051 3076068 3664944 4101424 4614102 6152136 6788849 9228204 12304272 13577698 18456408 20366547 27155396 36912816 40733094 54310792 61099641 81466188 108621584 122199282 162932376 210454319 244398564 325864752 420908638 488797128 631362957 841817276 977594256 1262725914 1683634552 1894088871 2525451828 3367269104 3788177742 5050903656 7576355484 10101807312 15152710968 30305421936