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332055240 = 2335111072351
BaseRepresentation
bin10011110010101…
…100001011001000
3212010211011011020
4103302230023020
51140001231430
652541032440
711141265036
oct2362541310
9763734136
10332055240
11160489020
1293255720
1353a423ba
1432159556
151e241b10
hex13cac2c8

332055240 has 128 divisors (see below), whose sum is σ = 1097349120. Its totient is φ = 79712000.

The previous prime is 332055233. The next prime is 332055253. The reversal of 332055240 is 42550233.

It is a super-2 number, since 2×3320552402 = 220521364822915200, which contains 22 as substring.

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 332055240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140065 + ... + 142415.

It is an arithmetic number, because the mean of its divisors is an integer number (8573040).

Almost surely, 2332055240 is an apocalyptic number.

332055240 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 332055240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548674560).

332055240 is an abundant number, since it is smaller than the sum of its proper divisors (765293880).

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

332055240 is a wasteful number, since it uses less digits than its factorization.

332055240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2483 (or 2479 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 332055240 is about 18222.3829396707. The cubic root of 332055240 is about 692.4739588882.

The spelling of 332055240 in words is "three hundred thirty-two million, fifty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 107 110 120 132 165 214 220 264 321 330 428 440 535 642 660 856 1070 1177 1284 1320 1605 2140 2351 2354 2568 3210 3531 4280 4702 4708 5885 6420 7053 7062 9404 9416 11755 11770 12840 14106 14124 17655 18808 23510 23540 25861 28212 28248 35265 35310 47020 47080 51722 56424 70530 70620 77583 94040 103444 129305 141060 141240 155166 206888 251557 258610 282120 310332 387915 503114 517220 620664 754671 775830 1006228 1034440 1257785 1509342 1551660 2012456 2515570 2767127 3018684 3103320 3773355 5031140 5534254 6037368 7546710 8301381 10062280 11068508 13835635 15093420 16602762 22137016 27671270 30186840 33205524 41506905 55342540 66411048 83013810 110685080 166027620 332055240