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30438190328 = 237131712232011
BaseRepresentation
bin11100010110010000…
…011110110011111000
32220120021211021111112
4130112100132303320
5444314134042303
621552204015452
72125200230450
oct342620366370
986507737445
1030438190328
11119aa6239a7
125a95831588
132b410b8610
14168a710d60
15bd23330d8
hex71641ecf8

30438190328 has 128 divisors (see below), whose sum is σ = 74471685120. Its totient is φ = 11318261760.

The previous prime is 30438190309. The next prime is 30438190351. The reversal of 30438190328 is 82309183403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15134843 + ... + 15136853.

It is an arithmetic number, because the mean of its divisors is an integer number (581810040).

Almost surely, 230438190328 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 30438190328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37235842560).

30438190328 is an abundant number, since it is smaller than the sum of its proper divisors (44033494792).

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

30438190328 is a wasteful number, since it uses less digits than its factorization.

30438190328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3277 (or 3273 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The spelling of 30438190328 in words is "thirty billion, four hundred thirty-eight million, one hundred ninety thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 17 26 28 34 52 56 68 91 104 119 136 182 221 238 364 442 476 728 884 952 1223 1547 1768 2011 2446 3094 4022 4892 6188 8044 8561 9784 12376 14077 15899 16088 17122 20791 26143 28154 31798 34187 34244 41582 52286 56308 63596 68374 68488 83164 104572 111293 112616 127192 136748 145537 166328 183001 209144 222586 239309 270283 273496 291074 366002 444431 445172 478618 540566 582148 732004 888862 890344 957236 1081132 1164296 1464008 1777724 1891981 1914472 2162264 2459453 3111017 3555448 3783962 4918906 6222034 7567924 9837812 12444068 15135848 17216171 19675624 24888136 31972889 34432342 41810701 63945778 68864684 83621402 127891556 137729368 167242804 223810223 255783112 292674907 334485608 447620446 543539113 585349814 895240892 1087078226 1170699628 1790481784 2174156452 2341399256 3804773791 4348312904 7609547582 15219095164 30438190328