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34675992 = 23331353233
BaseRepresentation
bin1000010001000…
…1110100011000
32102020201112000
42010101310120
532334112432
63235121000
7600512121
oct204216430
972221460
1034675992
111863464a
12b743160
137251450
144869048
15309e57c
hex2111d18

34675992 has 128 divisors (see below), whose sum is σ = 106142400. Its totient is φ = 10423296.

The previous prime is 34675943. The next prime is 34675997. The reversal of 34675992 is 29957643.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34675997) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148708 + ... + 148940.

Almost surely, 234675992 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 34675992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53071200).

34675992 is an abundant number, since it is smaller than the sum of its proper divisors (71466408).

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

34675992 is a wasteful number, since it uses less digits than its factorization.

34675992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 304 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 34675992 is about 5888.6324388605. The cubic root of 34675992 is about 326.0941176306.

The spelling of 34675992 in words is "thirty-four million, six hundred seventy-five thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 53 54 72 78 104 106 108 117 156 159 212 216 233 234 312 318 351 424 466 468 477 636 689 699 702 932 936 954 1272 1378 1398 1404 1431 1864 1908 2067 2097 2756 2796 2808 2862 3029 3816 4134 4194 5512 5592 5724 6058 6201 6291 8268 8388 9087 11448 12116 12349 12402 12582 16536 16776 18174 18603 24232 24698 24804 25164 27261 36348 37047 37206 49396 49608 50328 54522 72696 74094 74412 81783 98792 109044 111141 148188 148824 160537 163566 218088 222282 296376 321074 327132 333423 444564 481611 642148 654264 666846 889128 963222 1284296 1333692 1444833 1926444 2667384 2889666 3852888 4334499 5779332 8668998 11558664 17337996 34675992