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331036080 = 24357119427
BaseRepresentation
bin10011101110110…
…011010110110000
3212001220101010120
4103232303112300
51134221123310
652503130240
711126521524
oct2356632660
9761811116
10331036080
1115a952341
1292a43980
135377654b
1431d71d84
151e0deb70
hex13bb35b0

331036080 has 80 divisors (see below), whose sum is σ = 1040719104. Its totient is φ = 87028480.

The previous prime is 331036061. The next prime is 331036127. The reversal of 331036080 is 80630133.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 331036080.

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, 7327 + ... + 26753.

Almost surely, 2331036080 is an apocalyptic number.

331036080 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 331036080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520359552).

331036080 is an abundant number, since it is smaller than the sum of its proper divisors (709683024).

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

331036080 is a wasteful number, since it uses less digits than its factorization.

331036080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19514 (or 19508 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 331036080 is about 18194.3969397175. The cubic root of 331036080 is about 691.7647746514.

The spelling of 331036080 in words is "three hundred thirty-one million, thirty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 213 240 284 355 426 568 710 852 1065 1136 1420 1704 2130 2840 3408 4260 5680 8520 17040 19427 38854 58281 77708 97135 116562 155416 194270 233124 291405 310832 388540 466248 582810 777080 932496 1165620 1379317 1554160 2331240 2758634 4137951 4662480 5517268 6896585 8275902 11034536 13793170 16551804 20689755 22069072 27586340 33103608 41379510 55172680 66207216 82759020 110345360 165518040 331036080