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381546432 = 2632662407
BaseRepresentation
bin10110101111011…
…110111111000000
3222120221120022100
4112233132333000
51240133441212
6101505510400
712312043161
oct2657367700
9876846270
10381546432
11186411533
12a7942400
1361080027
143895d768
152376abdc
hex16bdefc0

381546432 has 42 divisors (see below), whose sum is σ = 1093635608. Its totient is φ = 127181952.

The previous prime is 381546413. The next prime is 381546437. The reversal of 381546432 is 234645183.

381546432 is a `hidden beast` number, since 3 + 8 + 1 + 5 + 4 + 643 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381546437) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 330628 + ... + 331779.

Almost surely, 2381546432 is an apocalyptic number.

381546432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

381546432 is an abundant number, since it is smaller than the sum of its proper divisors (712089176).

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

381546432 is a wasteful number, since it uses less digits than its factorization.

381546432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662425 (or 662412 counting only the distinct ones).

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

The square root of 381546432 is about 19533.2135604974. The cubic root of 381546432 is about 725.2968626535.

The spelling of 381546432 in words is "three hundred eighty-one million, five hundred forty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 662407 1324814 1987221 2649628 3974442 5299256 5961663 7948884 10598512 11923326 15897768 21197024 23846652 31795536 42394048 47693304 63591072 95386608 127182144 190773216 381546432