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34870464 = 263260539
BaseRepresentation
bin1000010100000…
…1010011000000
32102121121021200
42011001103000
532411323324
63243221200
7602252106
oct205012300
972547250
1034870464
1118757772
12b817800
1372bbb15
1448b9c76
1530dbec9
hex21414c0

34870464 has 42 divisors (see below), whose sum is σ = 99951540. Its totient is φ = 11623296.

The previous prime is 34870457. The next prime is 34870469. The reversal of 34870464 is 46407843.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (34870469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29694 + ... + 30845.

Almost surely, 234870464 is an apocalyptic number.

It is an amenable number.

34870464 is an abundant number, since it is smaller than the sum of its proper divisors (65081076).

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

34870464 is a wasteful number, since it uses less digits than its factorization.

34870464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60557 (or 60544 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 34870464 is about 5905.1218446362. The cubic root of 34870464 is about 326.7025884881.

The spelling of 34870464 in words is "thirty-four million, eight hundred seventy thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 60539 121078 181617 242156 363234 484312 544851 726468 968624 1089702 1452936 1937248 2179404 2905872 3874496 4358808 5811744 8717616 11623488 17435232 34870464