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381340932 = 223722272857
BaseRepresentation
bin10110101110101…
…100110100000100
3222120120010102020
4112232230310010
51240110402212
6101501243140
712310226100
oct2656546404
9876503366
10381340932
111862910a5
12a78634b0
136100a62b
1438908900
1523729d8c
hex16bacd04

381340932 has 72 divisors (see below), whose sum is σ = 1039991904. Its totient is φ = 108436608.

The previous prime is 381340931. The next prime is 381340937. The reversal of 381340932 is 239043183.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 381340893 and 381340902.

It is not an unprimeable number, because it can be changed into a prime (381340931) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132048 + ... + 134904.

It is an arithmetic number, because the mean of its divisors is an integer number (14444332).

Almost surely, 2381340932 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381340932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519995952).

381340932 is an abundant number, since it is smaller than the sum of its proper divisors (658650972).

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

381340932 is a wasteful number, since it uses less digits than its factorization.

381340932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3105 (or 3096 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 381340932 is about 19527.9525808519. The cubic root of 381340932 is about 725.1666248809.

The spelling of 381340932 in words is "three hundred eighty-one million, three hundred forty thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 227 294 454 588 681 908 1362 1589 2724 2857 3178 4767 5714 6356 8571 9534 11123 11428 17142 19068 19999 22246 33369 34284 39998 44492 59997 66738 79996 119994 133476 139993 239988 279986 419979 559972 648539 839958 1297078 1679916 1945617 2594156 3891234 4539773 7782468 9079546 13619319 18159092 27238638 31778411 54477276 63556822 95335233 127113644 190670466 381340932