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34739964 = 22327314447
BaseRepresentation
bin1000010010000…
…1011011111100
32102100222021100
42010201123330
532343134324
63240333100
7601166460
oct204413374
972328240
1034739964
1118678716
12b774190
1372745bc
1448844a0
1530b34c9
hex21216fc

34739964 has 72 divisors (see below), whose sum is σ = 103620608. Its totient is φ = 9603360.

The previous prime is 34739951. The next prime is 34739977. The reversal of 34739964 is 46993743.

It is an interprime number because it is at equal distance from previous prime (34739951) and next prime (34739977).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5589 + ... + 10035.

Almost surely, 234739964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34739964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51810304).

34739964 is an abundant number, since it is smaller than the sum of its proper divisors (68880644).

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

34739964 is a wasteful number, since it uses less digits than its factorization.

34739964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4495 (or 4490 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 34739964 is about 5894.0617573962. The cubic root of 34739964 is about 326.2945260055.

The spelling of 34739964 in words is "thirty-four million, seven hundred thirty-nine thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 434 558 651 868 1116 1302 1953 2604 3906 4447 7812 8894 13341 17788 26682 31129 40023 53364 62258 80046 93387 124516 137857 160092 186774 275714 280161 373548 413571 551428 560322 827142 964999 1120644 1240713 1654284 1929998 2481426 2894997 3859996 4962852 5789994 8684991 11579988 17369982 34739964