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30403501956 = 223632292
BaseRepresentation
bin11100010100001100…
…001001111110000100
32220110212112221000000
4130110030021332010
5444231244030311
621544524321300
72124266334252
oct342414117604
986425487000
1030403501956
1111991a91023
125a860a3230
132b36b61659
141685c815d2
15bce280056
hex714309f84

30403501956 has 63 divisors (see below), whose sum is σ = 79797412821. Its totient is φ = 10131362064.

The previous prime is 30403501949. The next prime is 30403501963. The reversal of 30403501956 is 65910530403.

The square root of 30403501956 is 174366.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (30403501949) and next prime (30403501963).

It can be written as a sum of positive squares in only one way, i.e., 9145861956 + 21257640000 = 95634^2 + 145800^2 .

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 30403501956.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 9414150 + ... + 9417378.

Almost surely, 230403501956 is an apocalyptic number.

30403501956 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

30403501956 is the 174366-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30403501956

30403501956 is an abundant number, since it is smaller than the sum of its proper divisors (49393910865).

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

30403501956 is an frugal number, since it uses more digits than its factorization.

30403501956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6480 (or 3234 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

Multiplying 30403501956 by its sum of digits (36), we get a square (1094526070416 = 10461962).

30403501956 divided by its sum of digits (36) gives a square (844541721 = 290612).

The spelling of 30403501956 in words is "thirty billion, four hundred three million, five hundred one thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 3229 6458 9687 12916 19374 29061 38748 58122 87183 116244 174366 261549 348732 523098 784647 1046196 1569294 2353941 3138588 4707882 9415764 10426441 20852882 31279323 41705764 62558646 93837969 125117292 187675938 281513907 375351876 563027814 844541721 1126055628 1689083442 2533625163 3378166884 5067250326 7600875489 10134500652 15201750978 30403501956