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34738464 = 2532315733
BaseRepresentation
bin1000010010000…
…1000100100000
32102100220012210
42010201010200
532343112324
63240322120
7601162215
oct204410440
972326183
1034738464
1118677582
12b773340
137273a07
144883b0c
1530b2d29
hex2121120

34738464 has 48 divisors (see below), whose sum is σ = 95159232. Its totient is φ = 11075328.

The previous prime is 34738447. The next prime is 34738469. The reversal of 34738464 is 46483743.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (34738469) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5659 + ... + 10074.

It is an arithmetic number, because the mean of its divisors is an integer number (1982484).

Almost surely, 234738464 is an apocalyptic number.

It is an amenable number.

34738464 is an abundant number, since it is smaller than the sum of its proper divisors (60420768).

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

34738464 is a wasteful number, since it uses less digits than its factorization.

34738464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15769 (or 15761 counting only the distinct ones).

The product of its digits is 193536, while the sum is 39.

The square root of 34738464 is about 5893.9345093070. The cubic root of 34738464 is about 326.2898296964.

The spelling of 34738464 in words is "thirty-four million, seven hundred thirty-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 15733 31466 47199 62932 94398 125864 188796 251728 361859 377592 503456 723718 755184 1085577 1447436 1510368 2171154 2894872 4342308 5789744 8684616 11579488 17369232 34738464