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380466450 = 2335271319163
BaseRepresentation
bin10110101011010…
…111010100010010
3222111220200212000
4112223113110102
51234344411300
6101430414430
712266624430
oct2653272422
9874820760
10380466450
11185844091
12a7501416
1360a925a0
143875bd50
1523605c00
hex16ad7512

380466450 has 384 divisors, whose sum is σ = 1366579200. Its totient is φ = 75582720.

The previous prime is 380466433. The next prime is 380466467. The reversal of 380466450 is 54664083.

380466450 is a `hidden beast` number, since 3 + 8 + 0 + 4 + 6 + 645 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (380466433) and next prime (380466467).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2334069 + ... + 2334231.

It is an arithmetic number, because the mean of its divisors is an integer number (3558800).

Almost surely, 2380466450 is an apocalyptic number.

380466450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 380466450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683289600).

380466450 is an abundant number, since it is smaller than the sum of its proper divisors (986112750).

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

380466450 is a wasteful number, since it uses less digits than its factorization.

380466450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 380466450 is about 19505.5492104170. The cubic root of 380466450 is about 724.6118889816.

The spelling of 380466450 in words is "three hundred eighty million, four hundred sixty-six thousand, four hundred fifty".