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331061000 = 2353973413
BaseRepresentation
bin10011101110111…
…001011100001000
3212001221122022112
4103232321130020
51134222423000
652503441452
711126654264
oct2356713410
9761848275
10331061000
1115a96a036
1292a56288
13537849aa
1431d7b0a4
151e0e7235
hex13bb9708

331061000 has 64 divisors (see below), whose sum is σ = 782898480. Its totient is φ = 131020800.

The previous prime is 331060991. The next prime is 331061053. The reversal of 331061000 is 160133.

It can be written as a sum of positive squares in 8 ways, for example, as 56761156 + 274299844 = 7534^2 + 16562^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95294 + ... + 98706.

Almost surely, 2331061000 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 331061000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391449240).

331061000 is an abundant number, since it is smaller than the sum of its proper divisors (451837480).

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

331061000 is a wasteful number, since it uses less digits than its factorization.

331061000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3531 (or 3517 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 331061000 is about 18195.0817530452. The cubic root of 331061000 is about 691.7821326240.

The spelling of 331061000 in words is "three hundred thirty-one million, sixty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 97 100 125 194 200 250 388 485 500 776 970 1000 1940 2425 3413 3880 4850 6826 9700 12125 13652 17065 19400 24250 27304 34130 48500 68260 85325 97000 136520 170650 331061 341300 426625 662122 682600 853250 1324244 1655305 1706500 2648488 3310610 3413000 6621220 8276525 13242440 16553050 33106100 41382625 66212200 82765250 165530500 331061000