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331004080 = 245114753151
BaseRepresentation
bin10011101110101…
…011100010110000
3212001211202020101
4103232223202300
51134214112310
652502322144
711126326321
oct2356534260
9761752211
10331004080
1115a9302a0
1292a29354
1353764b04
1431d64448
151e0d543a
hex13bab8b0

331004080 has 160 divisors (see below), whose sum is σ = 879372288. Its totient is φ = 114816000.

The previous prime is 331004077. The next prime is 331004099. The reversal of 331004080 is 80400133.

331004080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 2192005 + ... + 2192155.

Almost surely, 2331004080 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 331004080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439686144).

331004080 is an abundant number, since it is smaller than the sum of its proper divisors (548368208).

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

331004080 is a wasteful number, since it uses less digits than its factorization.

331004080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 331004080 is about 18193.5175268555. The cubic root of 331004080 is about 691.7424838423.

The spelling of 331004080 in words is "three hundred thirty-one million, four thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 47 53 55 80 88 94 106 110 151 176 188 212 220 235 265 302 376 424 440 470 517 530 583 604 752 755 848 880 940 1034 1060 1166 1208 1510 1661 1880 2068 2120 2332 2416 2491 2585 2915 3020 3322 3760 4136 4240 4664 4982 5170 5830 6040 6644 7097 8003 8272 8305 9328 9964 10340 11660 12080 12455 13288 14194 16006 16610 19928 20680 23320 24910 26576 27401 28388 32012 33220 35485 39856 40015 41360 46640 49820 54802 56776 64024 66440 70970 78067 80030 88033 99640 109604 113552 128048 132880 137005 141940 156134 160060 176066 199280 219208 274010 283880 312268 320120 352132 376141 390335 438416 440165 548020 567760 624536 640240 704264 752282 780670 880330 1096040 1249072 1408528 1504564 1561340 1760660 1880705 2192080 3009128 3122680 3521320 3761410 4137551 6018256 6245360 7042640 7522820 8275102 15045640 16550204 20687755 30091280 33100408 41375510 66200816 82751020 165502040 331004080