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332038980 = 2233571329233
BaseRepresentation
bin10011110010101…
…000001101000100
3212010210022212000
4103302220031010
51140000221410
652540425300
711141166450
oct2362501504
9763708760
10332038980
11160477889
1293248230
1353a37b90
1432153660
151e23bdc0
hex13ca8344

332038980 has 384 divisors, whose sum is σ = 1320883200. Its totient is φ = 67350528.

The previous prime is 332038979. The next prime is 332038981. The reversal of 332038980 is 89830233.

It is an interprime number because it is at equal distance from previous prime (332038979) and next prime (332038981).

It is a super-2 number, since 2×3320389802 = 220499768478880800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (332038981) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1424944 + ... + 1425176.

It is an arithmetic number, because the mean of its divisors is an integer number (3439800).

Almost surely, 2332038980 is an apocalyptic number.

332038980 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 332038980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660441600).

332038980 is an abundant number, since it is smaller than the sum of its proper divisors (988844220).

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

332038980 is a wasteful number, since it uses less digits than its factorization.

332038980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 332038980 is about 18221.9367796072. The cubic root of 332038980 is about 692.4626557384.

The spelling of 332038980 in words is "three hundred thirty-two million, thirty-eight thousand, nine hundred eighty".