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34157376 = 263411599
BaseRepresentation
bin1000001001001…
…1001101000000
32101021101010000
42002103031000
532221014001
63220040000
7563222121
oct202231500
971241100
1034157376
111830aa40
12b533000
1370cc386
144772048
152eeaa86
hex2093340

34157376 has 140 divisors (see below), whose sum is σ = 110642400. Its totient is φ = 10333440.

The previous prime is 34157363. The next prime is 34157413. The reversal of 34157376 is 67375143.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 34157376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 56725 + ... + 57323.

Almost surely, 234157376 is an apocalyptic number.

34157376 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34157376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55321200).

34157376 is an abundant number, since it is smaller than the sum of its proper divisors (76485024).

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

34157376 is a wasteful number, since it uses less digits than its factorization.

34157376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 615 counting only the distinct ones).

The product of its digits is 52920, while the sum is 36.

The square root of 34157376 is about 5844.4311955912. The cubic root of 34157376 is about 324.4602512402.

The spelling of 34157376 in words is "thirty-four million, one hundred fifty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 132 144 162 176 192 198 216 264 288 297 324 352 396 432 528 576 594 599 648 704 792 864 891 1056 1188 1198 1296 1584 1728 1782 1797 2112 2376 2396 2592 3168 3564 3594 4752 4792 5184 5391 6336 6589 7128 7188 9504 9584 10782 13178 14256 14376 16173 19008 19168 19767 21564 26356 28512 28752 32346 38336 39534 43128 48519 52712 57024 57504 59301 64692 79068 86256 97038 105424 115008 118602 129384 158136 172512 177903 194076 210848 237204 258768 316272 345024 355806 388152 421696 474408 517536 533709 632544 711612 776304 948816 1035072 1067418 1265088 1423224 1552608 1897632 2134836 2846448 3105216 3795264 4269672 5692896 8539344 11385792 17078688 34157376