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380983300 = 225213727809
BaseRepresentation
bin10110101101010…
…101100000000100
3222112212221211121
4112231111200010
51240012431200
6101445443324
712304206325
oct2655254004
9875787747
10380983300
11186067435
12a7710544
1360c13909
143885444c
15236a8e1a
hex16b55804

380983300 has 36 divisors (see below), whose sum is σ = 832798260. Its totient is φ = 151275520.

The previous prime is 380983297. The next prime is 380983327. The reversal of 380983300 is 3389083.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 30976 + 380952324 = 176^2 + 19518^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 205 + ... + 27604.

It is an arithmetic number, because the mean of its divisors is an integer number (23133285).

Almost surely, 2380983300 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 380983300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416399130).

380983300 is an abundant number, since it is smaller than the sum of its proper divisors (451814960).

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

380983300 is a wasteful number, since it uses less digits than its factorization.

380983300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27960 (or 27953 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 380983300 is about 19518.7935077965. The cubic root of 380983300 is about 724.9398602513.

The spelling of 380983300 in words is "three hundred eighty million, nine hundred eighty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 137 274 548 685 1370 2740 3425 6850 13700 27809 55618 111236 139045 278090 556180 695225 1390450 2780900 3809833 7619666 15239332 19049165 38098330 76196660 95245825 190491650 380983300