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34668544 = 216232
BaseRepresentation
bin1000010001000…
…0000000000000
32102020100022011
42010100000000
532333343134
63235022304
7600451321
oct204200000
972210264
1034668544
1118629a99
12b73a994
13724ac41
144866448
15309c264
hex2110000

34668544 has 51 divisors (see below), whose sum is σ = 72482263. Its totient is φ = 16580608.

The previous prime is 34668527. The next prime is 34668581. The reversal of 34668544 is 44586643.

The square root of 34668544 is 5888.

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

It is a Duffinian number.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 34668497 and 34668506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1507317 + ... + 1507339.

Almost surely, 234668544 is an apocalyptic number.

34668544 is the 5888-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34668544

34668544 is an abundant number, since it is smaller than the sum of its proper divisors (37813719).

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

34668544 is an frugal number, since it uses more digits than its factorization.

34668544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 25 counting only the distinct ones).

The product of its digits is 276480, while the sum is 40.

The cubic root of 34668544 is about 326.0707688835.

The spelling of 34668544 in words is "thirty-four million, six hundred sixty-eight thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 512 529 736 1024 1058 1472 2048 2116 2944 4096 4232 5888 8192 8464 11776 16384 16928 23552 32768 33856 47104 65536 67712 94208 135424 188416 270848 376832 541696 753664 1083392 1507328 2166784 4333568 8667136 17334272 34668544