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382240960 = 2651378719
BaseRepresentation
bin10110110010001…
…000100011000000
3222122020212000121
4112302020203000
51240323202320
6101532430024
712320665063
oct2662104300
9878225017
10382240960
11186846322
12a8018314
13612641aa
1438aa08da
15238568aa
hex16c888c0

382240960 has 56 divisors (see below), whose sum is σ = 916960320. Its totient is φ = 151762944.

The previous prime is 382240949. The next prime is 382240961. The reversal of 382240960 is 69042283.

It is a super-2 number, since 2×3822409602 = 292216303003443200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (382240961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39481 + ... + 48199.

Almost surely, 2382240960 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 382240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458480160).

382240960 is an abundant number, since it is smaller than the sum of its proper divisors (534719360).

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

382240960 is a wasteful number, since it uses less digits than its factorization.

382240960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8873 (or 8863 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 382240960 is about 19550.9836069698. The cubic root of 382240960 is about 725.7366812394.

The spelling of 382240960 in words is "three hundred eighty-two million, two hundred forty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 137 160 274 320 548 685 1096 1370 2192 2740 4384 5480 8719 8768 10960 17438 21920 34876 43595 43840 69752 87190 139504 174380 279008 348760 558016 697520 1194503 1395040 2389006 2790080 4778012 5972515 9556024 11945030 19112048 23890060 38224096 47780120 76448192 95560240 191120480 382240960