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332855040 = 2835722961
BaseRepresentation
bin10011110101101…
…111011100000000
3212012022210021110
4103311233130000
51140202330130
653010123320
711151135600
oct2365573400
9765283243
10332855040
11160984a11
1293580540
1353c6245b
14322c6c00
151e34dab0
hex13d6f700

332855040 has 432 divisors, whose sum is σ = 1300229280. Its totient is φ = 72253440.

The previous prime is 332855027. The next prime is 332855059. The reversal of 332855040 is 40558233.

It is a super-2 number, since 2×3328550402 = 221584955306803200, 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 = 332854989 and 332855007.

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, 5456610 + ... + 5456670.

It is an arithmetic number, because the mean of its divisors is an integer number (3009790).

Almost surely, 2332855040 is an apocalyptic number.

332855040 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 332855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650114640).

332855040 is an abundant number, since it is smaller than the sum of its proper divisors (967374240).

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

332855040 is a wasteful number, since it uses less digits than its factorization.

332855040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 332855040 is about 18244.3152790123. The cubic root of 332855040 is about 693.0294855325.

The spelling of 332855040 in words is "three hundred thirty-two million, eight hundred fifty-five thousand, forty".