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332612940 = 223511503959
BaseRepresentation
bin10011110100110…
…100010101001100
3212011212111011210
4103310310111030
51140122103230
653001014420
711146110012
oct2364642514
9764774153
10332612940
1116082a030
1293484410
1353ba91ba
14322628b2
151e301eb0
hex13d3454c

332612940 has 48 divisors (see below), whose sum is σ = 1015983360. Its totient is φ = 80633280.

The previous prime is 332612927. The next prime is 332612947. The reversal of 332612940 is 49216233.

It is a super-2 number, since 2×3326129402 = 221262735710887200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 332612898 and 332612907.

It is not an unprimeable number, because it can be changed into a prime (332612947) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251320 + ... + 252639.

It is an arithmetic number, because the mean of its divisors is an integer number (21166320).

Almost surely, 2332612940 is an apocalyptic number.

332612940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

332612940 is an abundant number, since it is smaller than the sum of its proper divisors (683370420).

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

332612940 is a wasteful number, since it uses less digits than its factorization.

332612940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503982 (or 503980 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 332612940 is about 18237.6791286611. The cubic root of 332612940 is about 692.8614212470.

The spelling of 332612940 in words is "three hundred thirty-two million, six hundred twelve thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 503959 1007918 1511877 2015836 2519795 3023754 5039590 5543549 6047508 7559385 10079180 11087098 15118770 16630647 22174196 27717745 30237540 33261294 55435490 66522588 83153235 110870980 166306470 332612940