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383490432 = 27321329883
BaseRepresentation
bin10110110110111…
…001100110000000
3222201121022222100
4112312321212000
51241133143212
6102015310400
712334420623
oct2666714600
9881538870
10383490432
1118751a046
12a851b400
13615b0b20
1438d07dba
1523a01bdc
hex16db9980

383490432 has 192 divisors, whose sum is σ = 1230793200. Its totient is φ = 113799168.

The previous prime is 383490427. The next prime is 383490467. The reversal of 383490432 is 234094383.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×3834904322 = 294129822871093248, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 433863 + ... + 434745.

Almost surely, 2383490432 is an apocalyptic number.

383490432 is a gapful number since it is divisible by the number (32) 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 383490432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615396600).

383490432 is an abundant number, since it is smaller than the sum of its proper divisors (847302768).

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

383490432 is a wasteful number, since it uses less digits than its factorization.

383490432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 383490432 is about 19582.9117344689. The cubic root of 383490432 is about 726.5265856101.

The spelling of 383490432 in words is "three hundred eighty-three million, four hundred ninety thousand, four hundred thirty-two".