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331070490 = 2355413323
BaseRepresentation
bin10011101110111…
…011110000011010
3212001222010100000
4103232323300122
51134223223430
652503553430
711130024042
oct2356736032
9761863300
10331070490
1115a976183
1292a5b876
13537890ca
1431d80722
151e0e9e60
hex13bbbc1a

331070490 has 96 divisors (see below), whose sum is σ = 914711616. Its totient is φ = 86106240.

The previous prime is 331070473. The next prime is 331070513. The reversal of 331070490 is 94070133.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97969 + ... + 101291.

It is an arithmetic number, because the mean of its divisors is an integer number (9528246).

Almost surely, 2331070490 is an apocalyptic number.

331070490 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 331070490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457355808).

331070490 is an abundant number, since it is smaller than the sum of its proper divisors (583641126).

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

331070490 is a wasteful number, since it uses less digits than its factorization.

331070490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3386 (or 3374 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 331070490 is about 18195.3425359348. The cubic root of 331070490 is about 691.7887426341.

The spelling of 331070490 in words is "three hundred thirty-one million, seventy thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 81 82 90 123 135 162 205 243 246 270 369 405 410 486 615 738 810 1107 1215 1230 1845 2214 2430 3321 3323 3690 5535 6642 6646 9963 9969 11070 16605 16615 19926 19938 29907 33210 33230 49815 49845 59814 89721 99630 99690 136243 149535 179442 269163 272486 299070 408729 448605 538326 681215 807489 817458 897210 1226187 1345815 1362430 1614978 2043645 2452374 2691630 3678561 4037445 4087290 6130935 7357122 8074890 11035683 12261870 18392805 22071366 33107049 36785610 55178415 66214098 110356830 165535245 331070490