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34934600464 = 24467272
BaseRepresentation
bin100000100010010000…
…111011001100010000
310100011122121120122021
4200202100323030100
51033021224203324
624014305421224
72344466130061
oct404220731420
9110148546567
1034934600464
11138a7742435
12692b63a814
1333a980612a
141995964568
15d96e62ae4
hex82243b310

34934600464 has 15 divisors (see below), whose sum is σ = 67687236967. Its totient is φ = 17466926416.

The previous prime is 34934600461. The next prime is 34934600473. The reversal of 34934600464 is 46400643943.

The square root of 34934600464 is 186908.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34934600464.

It is not an unprimeable number, because it can be changed into a prime (34934600461) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 724269 + ... + 770995.

Almost surely, 234934600464 is an apocalyptic number.

34934600464 is the 186908-th square number.

It is an amenable number.

34934600464 is a deficient number, since it is larger than the sum of its proper divisors (32752636503).

34934600464 is an frugal number, since it uses more digits than its factorization.

34934600464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93462 (or 46729 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 43.

The spelling of 34934600464 in words is "thirty-four billion, nine hundred thirty-four million, six hundred thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 46727 93454 186908 373816 747632 2183412529 4366825058 8733650116 17467300232 34934600464