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34995264 = 2631953181
BaseRepresentation
bin1000010101111…
…1110001000000
32102211221110220
42011133301000
532424322024
63250023040
7603312003
oct205376100
972757426
1034995264
1118832507
12b877a80
137333875
14490d53a
153113e79
hex215fc40

34995264 has 112 divisors (see below), whose sum is σ = 99852480. Its totient is φ = 10782720.

The previous prime is 34995227. The next prime is 34995269. The reversal of 34995264 is 46259943.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34995269) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 193254 + ... + 193434.

It is an arithmetic number, because the mean of its divisors is an integer number (891540).

Almost surely, 234995264 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 34995264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49926240).

34995264 is an abundant number, since it is smaller than the sum of its proper divisors (64857216).

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

34995264 is a wasteful number, since it uses less digits than its factorization.

34995264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 258 counting only the distinct ones).

The product of its digits is 233280, while the sum is 42.

The square root of 34995264 is about 5915.6795045033. The cubic root of 34995264 is about 327.0918762866.

The spelling of 34995264 in words is "thirty-four million, nine hundred ninety-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 53 57 64 76 96 106 114 152 159 181 192 212 228 304 318 362 424 456 543 608 636 724 848 912 1007 1086 1216 1272 1448 1696 1824 2014 2172 2544 2896 3021 3392 3439 3648 4028 4344 5088 5792 6042 6878 8056 8688 9593 10176 10317 11584 12084 13756 16112 17376 19186 20634 24168 27512 28779 32224 34752 38372 41268 48336 55024 57558 64448 76744 82536 96672 110048 115116 153488 165072 182267 193344 220096 230232 306976 330144 364534 460464 546801 613952 660288 729068 920928 1093602 1458136 1841856 2187204 2916272 4374408 5832544 8748816 11665088 17497632 34995264