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34074456 = 23313231271
BaseRepresentation
bin1000000111111…
…0111101011000
32101010011100220
42001332331120
532210340311
63214200040
7562425303
oct201767530
971104326
1034074456
1118263709
12b4b3020
1370a0700
14474db3a
152ed1206
hex207ef58

34074456 has 96 divisors (see below), whose sum is σ = 95569920. Its totient is φ = 10108800.

The previous prime is 34074433. The next prime is 34074457. The reversal of 34074456 is 65447043.

It is a happy number.

It is a super-2 number, since 2×340744562 = 2322137103391872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34074457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125601 + ... + 125871.

It is an arithmetic number, because the mean of its divisors is an integer number (995520).

Almost surely, 234074456 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 34074456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47784960).

34074456 is an abundant number, since it is smaller than the sum of its proper divisors (61495464).

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

34074456 is a wasteful number, since it uses less digits than its factorization.

34074456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 34074456 is about 5837.3329526420. The cubic root of 34074456 is about 324.1974866742.

The spelling of 34074456 in words is "thirty-four million, seventy-four thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 169 186 248 271 312 338 372 403 507 542 676 744 806 813 1014 1084 1209 1352 1612 1626 2028 2168 2418 3224 3252 3523 4056 4836 5239 6504 7046 8401 9672 10478 10569 14092 15717 16802 20956 21138 25203 28184 31434 33604 41912 42276 45799 50406 62868 67208 84552 91598 100812 109213 125736 137397 183196 201624 218426 274794 327639 366392 436852 549588 655278 873704 1099176 1310556 1419769 2621112 2839538 4259307 5679076 8518614 11358152 17037228 34074456