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332684240 = 2457619739
BaseRepresentation
bin10011110101000…
…101101111010000
3212012000002222112
4103311011233100
51140131343430
653002324452
711146524620
oct2365055720
9765002875
10332684240
11160878659
12934b9728
1353c027a5
1432280880
151e318195
hex13d45bd0

332684240 has 80 divisors (see below), whose sum is σ = 898573440. Its totient is φ = 112181760.

The previous prime is 332684239. The next prime is 332684269. The reversal of 332684240 is 42486233.

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

It is a super-2 number, since 2×3326842402 = 221357607088755200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332684197 and 332684206.

It is a congruent number.

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, 29291 + ... + 39029.

It is an arithmetic number, because the mean of its divisors is an integer number (11232168).

Almost surely, 2332684240 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 332684240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449286720).

332684240 is an abundant number, since it is smaller than the sum of its proper divisors (565889200).

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

332684240 is a wasteful number, since it uses less digits than its factorization.

332684240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9820 (or 9814 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 332684240 is about 18239.6337682531. The cubic root of 332684240 is about 692.9109257250.

The spelling of 332684240 in words is "three hundred thirty-two million, six hundred eighty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 61 70 80 112 122 140 244 280 305 427 488 560 610 854 976 1220 1708 2135 2440 3416 4270 4880 6832 8540 9739 17080 19478 34160 38956 48695 68173 77912 97390 136346 155824 194780 272692 340865 389560 545384 594079 681730 779120 1090768 1188158 1363460 2376316 2726920 2970395 4158553 4752632 5453840 5940790 8317106 9505264 11881580 16634212 20792765 23763160 33268424 41585530 47526320 66536848 83171060 166342120 332684240