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34450572 = 223131959197
BaseRepresentation
bin1000001101101…
…0110010001100
32101211021022010
42003122302030
532304404242
63230221220
7565552662
oct203326214
971737263
1034450572
11184a0252
12b654810
1371a2970
14480ac32
15305789c
hex20dac8c

34450572 has 96 divisors (see below), whose sum is σ = 93139200. Its totient is φ = 9821952.

The previous prime is 34450567. The next prime is 34450613. The reversal of 34450572 is 27505443.

It is a super-2 number, since 2×344505722 = 2373683822254368, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174778 + ... + 174974.

It is an arithmetic number, because the mean of its divisors is an integer number (970200).

Almost surely, 234450572 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 34450572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46569600).

34450572 is an abundant number, since it is smaller than the sum of its proper divisors (58688628).

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

34450572 is a wasteful number, since it uses less digits than its factorization.

34450572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 34450572 is about 5869.4609633253. The cubic root of 34450572 is about 325.3859619725.

It can be divided in two parts, 3 and 4450572, that multiplied together give a square (13351716 = 36542).

The spelling of 34450572 in words is "thirty-four million, four hundred fifty thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 59 76 78 114 118 156 177 197 228 236 247 354 394 494 591 708 741 767 788 988 1121 1182 1482 1534 2242 2301 2364 2561 2964 3068 3363 3743 4484 4602 5122 6726 7486 7683 9204 10244 11229 11623 13452 14573 14972 15366 22458 23246 29146 30732 34869 43719 44916 46492 48659 58292 69738 87438 97318 139476 145977 151099 174876 194636 220837 291954 302198 441674 453297 583908 604396 662511 883348 906594 1325022 1813188 2650044 2870881 5741762 8612643 11483524 17225286 34450572