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331811136 = 26321930319
BaseRepresentation
bin10011110001110…
…000100101000000
3212010100202022100
4103301300211000
51134420424021
652531510400
711136230256
oct2361604500
9763322270
10331811136
11160331688
1293158400
1353988267
14320d45d6
151e1e4626
hex13c70940

331811136 has 84 divisors (see below), whose sum is σ = 1001166400. Its totient is φ = 104779008.

The previous prime is 331811107. The next prime is 331811141. The reversal of 331811136 is 631118133.

It is a super-2 number, since 2×3318111362 = 220197259947220992, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 4216 + ... + 26103.

Almost surely, 2331811136 is an apocalyptic number.

331811136 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 331811136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500583200).

331811136 is an abundant number, since it is smaller than the sum of its proper divisors (669355264).

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

331811136 is a wasteful number, since it uses less digits than its factorization.

331811136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30356 (or 30343 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 331811136 is about 18215.6837917219. The cubic root of 331811136 is about 692.3042310026.

Adding to 331811136 its reverse (631118133), we get a palindrome (962929269).

The spelling of 331811136 in words is "three hundred thirty-one million, eight hundred eleven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 342 456 576 608 684 912 1216 1368 1824 2736 3648 5472 10944 30319 60638 90957 121276 181914 242552 272871 363828 485104 545742 576061 727656 970208 1091484 1152122 1455312 1728183 1940416 2182968 2304244 2910624 3456366 4365936 4608488 5184549 5821248 6912732 8731872 9216976 10369098 13825464 17463744 18433952 20738196 27650928 36867904 41476392 55301856 82952784 110603712 165905568 331811136