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383428080 = 24345779107
BaseRepresentation
bin10110110110101…
…010010111110000
3222201111011110000
4112312222113300
51241124144310
6102014110000
712334041060
oct2666522760
9881434400
10383428080
11187487212
12a84ab300
136158b629
1438ccd3a0
15239dd4c0
hex16daa5f0

383428080 has 400 divisors, whose sum is σ = 1555614720. Its totient is φ = 85722624.

The previous prime is 383428063. The next prime is 383428091. The reversal of 383428080 is 80824383.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3583387 + ... + 3583493.

Almost surely, 2383428080 is an apocalyptic number.

383428080 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 383428080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777807360).

383428080 is an abundant number, since it is smaller than the sum of its proper divisors (1172186640).

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

383428080 is a wasteful number, since it uses less digits than its factorization.

383428080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 383428080 is about 19581.3196695218. The cubic root of 383428080 is about 726.4872079732.

The spelling of 383428080 in words is "three hundred eighty-three million, four hundred twenty-eight thousand, eighty".