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383216640 = 2103561409
BaseRepresentation
bin10110110101110…
…110110000000000
3222201002102101220
4112311312300000
51241100413030
6102005355040
712332200452
oct2665666000
9881072356
10383216640
11187352374
12a8408a80
1361516311
1438c762d2
152399aa10
hex16d76c00

383216640 has 176 divisors, whose sum is σ = 1248833760. Its totient is φ = 100270080.

The previous prime is 383216621. The next prime is 383216677. The reversal of 383216640 is 46612383.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 936756 + ... + 937164.

Almost surely, 2383216640 is an apocalyptic number.

383216640 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 383216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624416880).

383216640 is an abundant number, since it is smaller than the sum of its proper divisors (865617120).

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

383216640 is a wasteful number, since it uses less digits than its factorization.

383216640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 383216640 is about 19575.9199017569. The cubic root of 383216640 is about 726.3536438556.

The spelling of 383216640 in words is "three hundred eighty-three million, two hundred sixteen thousand, six hundred forty".