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331111296 = 27321971459
BaseRepresentation
bin10011101111000…
…101101110000000
3212002001012022100
4103233011232000
51134231030141
652504510400
711130254025
oct2357055600
9762035270
10331111296
1115a9a38aa
1292a7b400
13537a1859
1431d9154c
151e1070b6
hex13bc5b80

331111296 has 96 divisors (see below), whose sum is σ = 958300200. Its totient is φ = 109734912.

The previous prime is 331111237. The next prime is 331111301. The reversal of 331111296 is 692111133.

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

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 226215 + ... + 227673.

Almost surely, 2331111296 is an apocalyptic number.

331111296 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 331111296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479150100).

331111296 is an abundant number, since it is smaller than the sum of its proper divisors (627188904).

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

331111296 is a wasteful number, since it uses less digits than its factorization.

331111296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1676 (or 1661 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 331111296 is about 18196.4638322944. The cubic root of 331111296 is about 691.8171635420.

The spelling of 331111296 in words is "three hundred thirty-one million, one hundred eleven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 197 288 384 394 576 591 788 1152 1182 1459 1576 1773 2364 2918 3152 3546 4377 4728 5836 6304 7092 8754 9456 11672 12608 13131 14184 17508 18912 23344 25216 26262 28368 35016 37824 46688 52524 56736 70032 75648 93376 105048 113472 140064 186752 210096 226944 280128 287423 420192 560256 574846 840384 862269 1149692 1680768 1724538 2299384 2586807 3449076 4598768 5173614 6898152 9197536 10347228 13796304 18395072 20694456 27592608 36790144 41388912 55185216 82777824 110370432 165555648 331111296