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331189380 = 2232519179541
BaseRepresentation
bin10011101111011…
…000110010000100
3212002012011102100
4103233120302010
51134241030010
652510312100
711131030464
oct2357306204
9762164370
10331189380
1115aa47535
1292ab8630
13537cb262
1431db1ba4
151e1202c0
hex13bd8c84

331189380 has 144 divisors (see below), whose sum is σ = 1065355200. Its totient is φ = 83047680.

The previous prime is 331189379. The next prime is 331189387. The reversal of 331189380 is 83981133.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331189387) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 611910 + ... + 612450.

It is an arithmetic number, because the mean of its divisors is an integer number (7398300).

Almost surely, 2331189380 is an apocalyptic number.

331189380 is a gapful number since it is divisible by the number (30) 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 331189380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532677600).

331189380 is an abundant number, since it is smaller than the sum of its proper divisors (734165820).

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

331189380 is a wasteful number, since it uses less digits than its factorization.

331189380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 331189380 is about 18198.6092875252. The cubic root of 331189380 is about 691.8715416381.

The spelling of 331189380 in words is "three hundred thirty-one million, one hundred eighty-nine thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 179 180 190 228 285 342 358 380 537 541 570 684 716 855 895 1074 1082 1140 1611 1623 1710 1790 2148 2164 2685 2705 3222 3246 3401 3420 3580 4869 5370 5410 6444 6492 6802 8055 8115 9738 10203 10279 10740 10820 13604 16110 16230 17005 19476 20406 20558 24345 30609 30837 32220 32460 34010 40812 41116 48690 51015 51395 61218 61674 68020 92511 96839 97380 102030 102790 122436 123348 153045 154185 185022 193678 204060 205580 290517 306090 308370 370044 387356 462555 484195 581034 612180 616740 871551 925110 968390 1162068 1452585 1743102 1839941 1850220 1936780 2905170 3486204 3679882 4357755 5519823 5810340 7359764 8715510 9199705 11039646 16559469 17431020 18399410 22079292 27599115 33118938 36798820 55198230 66237876 82797345 110396460 165594690 331189380