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331333376 = 2811971213
BaseRepresentation
bin10011101111111…
…011111100000000
3212002110110221112
4103233323330000
51134310132001
652513342452
711132200343
oct2357737400
9762413845
10331333376
11160035740
1292b67a28
135384b96a
143200c45a
151e14ccbb
hex13bfbf00

331333376 has 72 divisors (see below), whose sum is σ = 729536304. Its totient is φ = 148930560.

The previous prime is 331333337. The next prime is 331333391. The reversal of 331333376 is 673333133.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 7 ways as a sum of consecutive naturals, for example, 272546 + ... + 273758.

Almost surely, 2331333376 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 331333376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364768152).

331333376 is an abundant number, since it is smaller than the sum of its proper divisors (398202928).

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

331333376 is a wasteful number, since it uses less digits than its factorization.

331333376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1323 counting only the distinct ones).

The product of its digits is 30618, while the sum is 32.

The square root of 331333376 is about 18202.5650939641. The cubic root of 331333376 is about 691.9717987772.

The spelling of 331333376 in words is "three hundred thirty-one million, three hundred thirty-three thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 97 128 176 194 256 352 388 704 776 1067 1213 1408 1552 2134 2426 2816 3104 4268 4852 6208 8536 9704 12416 13343 17072 19408 24832 26686 34144 38816 53372 68288 77632 106744 117661 136576 155264 213488 235322 273152 310528 426976 470644 853952 941288 1294271 1707904 1882576 2588542 3415808 3765152 5177084 7530304 10354168 15060608 20708336 30121216 41416672 82833344 165666688 331333376