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380917008 = 24322645257
BaseRepresentation
bin10110101101000…
…101010100010000
3222112202120220100
4112231011110100
51240003321013
6101444212400
712303512133
oct2655052420
9875676810
10380917008
1118602164a
12a769a100
1360bbc6a4
143883821a
1523694473
hex16b45510

380917008 has 30 divisors (see below), whose sum is σ = 1066038974. Its totient is φ = 126972288.

The previous prime is 380917003. The next prime is 380917013. The reversal of 380917008 is 800719083.

It is an interprime number because it is at equal distance from previous prime (380917003) and next prime (380917013).

It can be written as a sum of positive squares in only one way, i.e., 283855104 + 97061904 = 16848^2 + 9852^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (380917003) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1322485 + ... + 1322772.

Almost surely, 2380917008 is an apocalyptic number.

It is an amenable number.

380917008 is an abundant number, since it is smaller than the sum of its proper divisors (685121966).

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

380917008 is a wasteful number, since it uses less digits than its factorization.

380917008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2645271 (or 2645262 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 380917008 is about 19517.0952756808. The cubic root of 380917008 is about 724.8978107258.

The spelling of 380917008 in words is "three hundred eighty million, nine hundred seventeen thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2645257 5290514 7935771 10581028 15871542 21162056 23807313 31743084 42324112 47614626 63486168 95229252 126972336 190458504 380917008