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380832496 = 24112229859
BaseRepresentation
bin10110101100110…
…000101011110000
3222112121021222021
4112230300223300
51234443114441
6101442321224
712303010552
oct2654605360
9875537867
10380832496
11185a74100
12a7659214
1360b90095
14388154d2
15236793d1
hex16b30af0

380832496 has 60 divisors (see below), whose sum is σ = 815529400. Its totient is φ = 172149120.

The previous prime is 380832479. The next prime is 380832497. The reversal of 380832496 is 694238083.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380832497) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 442915 + ... + 443773.

Almost surely, 2380832496 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 380832496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407764700).

380832496 is an abundant number, since it is smaller than the sum of its proper divisors (434696904).

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

380832496 is a wasteful number, since it uses less digits than its factorization.

380832496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The square root of 380832496 is about 19514.9300793008. The cubic root of 380832496 is about 724.8441970395.

The spelling of 380832496 in words is "three hundred eighty million, eight hundred thirty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 229 242 458 484 859 916 968 1718 1832 1936 2519 3436 3664 5038 6872 9449 10076 13744 18898 20152 27709 37796 40304 55418 75592 103939 110836 151184 196711 207878 221672 393422 415756 443344 786844 831512 1573688 1663024 2163821 3147376 4327642 8655284 17310568 23802031 34621136 47604062 95208124 190416248 380832496