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331129240 = 235134359251
BaseRepresentation
bin10011101111001…
…010000110011000
3212002002002220221
4103233022012120
51134232113430
652505125424
711130360241
oct2357120630
9762062827
10331129240
1115aa06332
1292a89874
13537a9a80
1431d97cc8
151e10c57a
hex13bca198

331129240 has 128 divisors (see below), whose sum is σ = 838252800. Its totient is φ = 116928000.

The previous prime is 331129231. The next prime is 331129291. The reversal of 331129240 is 42921133.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1319115 + ... + 1319365.

It is an arithmetic number, because the mean of its divisors is an integer number (6548850).

Almost surely, 2331129240 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 331129240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419126400).

331129240 is an abundant number, since it is smaller than the sum of its proper divisors (507123560).

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

331129240 is a wasteful number, since it uses less digits than its factorization.

331129240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 331129240 is about 18196.9568884470. The cubic root of 331129240 is about 691.8296605917.

The spelling of 331129240 in words is "three hundred thirty-one million, one hundred twenty-nine thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 43 52 59 65 86 104 118 130 172 215 236 251 260 295 344 430 472 502 520 559 590 767 860 1004 1118 1180 1255 1534 1720 2008 2236 2360 2510 2537 2795 3068 3263 3835 4472 5020 5074 5590 6136 6526 7670 10040 10148 10793 11180 12685 13052 14809 15340 16315 20296 21586 22360 25370 26104 29618 30680 32630 32981 43172 50740 53965 59236 65260 65962 74045 86344 101480 107930 118472 130520 131924 140309 148090 164905 192517 215860 263848 280618 296180 329810 385034 431720 561236 592360 636787 659620 701545 770068 962585 1122472 1273574 1319240 1403090 1540136 1925170 2547148 2806180 3183935 3850340 5094296 5612360 6367870 7700680 8278231 12735740 16556462 25471480 33112924 41391155 66225848 82782310 165564620 331129240