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332832990 = 23572257881
BaseRepresentation
bin10011110101101…
…010000011011110
3212012021200000210
4103311222003132
51140201123430
653005433250
711151014400
oct2365520336
9765250023
10332832990
1116096a396
129356b826
1353c553c9
14322bcb70
151e3472b0
hex13d6a0de

332832990 has 96 divisors (see below), whose sum is σ = 933889824. Its totient is φ = 75694080.

The previous prime is 332832967. The next prime is 332833043. The reversal of 332832990 is 99238233.

It is a super-2 number, since 2×3328329902 = 221555598464680200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 377350 + ... + 378230.

It is an arithmetic number, because the mean of its divisors is an integer number (9728019).

Almost surely, 2332832990 is an apocalyptic number.

332832990 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 332832990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466944912).

332832990 is an abundant number, since it is smaller than the sum of its proper divisors (601056834).

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

332832990 is a wasteful number, since it uses less digits than its factorization.

332832990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 332832990 is about 18243.7109711813. The cubic root of 332832990 is about 693.0141819361.

The spelling of 332832990 in words is "three hundred thirty-two million, eight hundred thirty-two thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 257 294 490 514 735 771 881 1285 1470 1542 1762 1799 2570 2643 3598 3855 4405 5286 5397 6167 7710 8810 8995 10794 12334 12593 13215 17990 18501 25186 26430 26985 30835 37002 37779 43169 53970 61670 62965 75558 86338 92505 125930 129507 185010 188895 215845 226417 259014 377790 431690 452834 647535 679251 1132085 1295070 1358502 1584919 2264170 3169838 3396255 4754757 6792510 7924595 9509514 11094433 15849190 22188866 23773785 33283299 47547570 55472165 66566598 110944330 166416495 332832990