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117354336 = 25311195849
BaseRepresentation
bin1101111111010…
…10111101100000
322011211012212220
412333222331200
5220020314321
615351151040
72623331631
oct677527540
9264735786
10117354336
1160275060
1233375480
131b40b948
141182b888
15a4819c6
hex6feaf60

117354336 has 96 divisors (see below), whose sum is σ = 353808000. Its totient is φ = 33684480.

The previous prime is 117354323. The next prime is 117354361. The reversal of 117354336 is 633453711.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 117354297 and 117354306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17140 + ... + 22988.

It is an arithmetic number, because the mean of its divisors is an integer number (3685500).

Almost surely, 2117354336 is an apocalyptic number.

117354336 is a gapful number since it is divisible by the number (16) 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 117354336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176904000).

117354336 is an abundant number, since it is smaller than the sum of its proper divisors (236453664).

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

117354336 is a wasteful number, since it uses less digits than its factorization.

117354336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5892 (or 5884 counting only the distinct ones).

The product of its digits is 22680, while the sum is 33.

The square root of 117354336 is about 10833.0206313844. The cubic root of 117354336 is about 489.5905728887.

It can be divided in two parts, 117 and 354336, that added together give a palindrome (354453).

The spelling of 117354336 in words is "one hundred seventeen million, three hundred fifty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 66 76 88 96 114 132 152 176 209 228 264 304 352 418 456 528 608 627 836 912 1056 1254 1672 1824 2508 3344 5016 5849 6688 10032 11698 17547 20064 23396 35094 46792 64339 70188 93584 111131 128678 140376 187168 193017 222262 257356 280752 333393 386034 444524 514712 561504 666786 772068 889048 1029424 1222441 1333572 1544136 1778096 2058848 2444882 2667144 3088272 3556192 3667323 4889764 5334288 6176544 7334646 9779528 10668576 14669292 19559056 29338584 39118112 58677168 117354336