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34494001400 = 2352172470007
BaseRepresentation
bin100000001000000000…
…001011000011111000
310022000221112211100102
4200020000023003320
51031120431021100
623502450054532
72330536113515
oct401000130370
9108027484312
1034494001400
11136a0a67881
126827b7a448
13333944b421
14195323230c
15d6d42ecd5
hex80800b0f8

34494001400 has 24 divisors (see below), whose sum is σ = 80198553720. Its totient is φ = 13797600480.

The previous prime is 34494001379. The next prime is 34494001417. The reversal of 34494001400 is 410049443.

It is a super-2 number, since 2×344940014002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 86234804 + ... + 86235203.

It is an arithmetic number, because the mean of its divisors is an integer number (3341606405).

Almost surely, 234494001400 is an apocalyptic number.

It is an amenable number.

34494001400 is an abundant number, since it is smaller than the sum of its proper divisors (45704552320).

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

34494001400 is a wasteful number, since it uses less digits than its factorization.

34494001400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172470023 (or 172470014 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The spelling of 34494001400 in words is "thirty-four billion, four hundred ninety-four million, one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 172470007 344940014 689880028 862350035 1379760056 1724700070 3449400140 4311750175 6898800280 8623500350 17247000700 34494001400