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34410400032 = 253358441667
BaseRepresentation
bin100000000011000001…
…010000100100100000
310021211010020102211110
4200003001100210200
51030433030300112
623450302143320
72325502400661
oct400301204440
9107733212743
1034410400032
1113658856938
126803b81b40
133325029a68
1419460ad368
15d65e1913c
hex803050920

34410400032 has 24 divisors (see below), whose sum is σ = 90327300336. Its totient is φ = 11470133312.

The previous prime is 34410400019. The next prime is 34410400069. The reversal of 34410400032 is 23000401443.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 34410399981 and 34410400008.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 179220738 + ... + 179220929.

It is an arithmetic number, because the mean of its divisors is an integer number (3763637514).

Almost surely, 234410400032 is an apocalyptic number.

34410400032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34410400032 is an abundant number, since it is smaller than the sum of its proper divisors (55916900304).

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

34410400032 is a wasteful number, since it uses less digits than its factorization.

34410400032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358441680 (or 358441672 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 34410400032 its reverse (23000401443), we get a palindrome (57410801475).

The spelling of 34410400032 in words is "thirty-four billion, four hundred ten million, four hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 358441667 716883334 1075325001 1433766668 2150650002 2867533336 4301300004 5735066672 8602600008 11470133344 17205200016 34410400032