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382620384 = 25326779251
BaseRepresentation
bin10110110011100…
…101001011100000
3222122222010111100
4112303211023200
51240422323014
6101544514400
712324135216
oct2663451340
9878863440
10382620384
11186a853a3
12a817ba00
1361367ac3
1438b5ccb6
15238ce009
hex16ce52e0

382620384 has 144 divisors (see below), whose sum is σ = 1122750720. Its totient is φ = 123552000.

The previous prime is 382620379. The next prime is 382620391. The reversal of 382620384 is 483026283.

It is a tau number, because it is divible by the number of its divisors (144).

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, 1524259 + ... + 1524509.

It is an arithmetic number, because the mean of its divisors is an integer number (7796880).

Almost surely, 2382620384 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 382620384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561375360).

382620384 is an abundant number, since it is smaller than the sum of its proper divisors (740130336).

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

382620384 is a wasteful number, since it uses less digits than its factorization.

382620384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 382620384 is about 19560.6846505944. The cubic root of 382620384 is about 725.9767312625.

The spelling of 382620384 in words is "three hundred eighty-two million, six hundred twenty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 67 72 79 96 134 144 158 201 237 251 268 288 316 402 474 502 536 603 632 711 753 804 948 1004 1072 1206 1264 1422 1506 1608 1896 2008 2144 2259 2412 2528 2844 3012 3216 3792 4016 4518 4824 5293 5688 6024 6432 7584 8032 9036 9648 10586 11376 12048 15879 16817 18072 19296 19829 21172 22752 24096 31758 33634 36144 39658 42344 47637 50451 59487 63516 67268 72288 79316 84688 95274 100902 118974 127032 134536 151353 158632 169376 178461 190548 201804 237948 254064 269072 302706 317264 356922 381096 403608 475896 508128 538144 605412 634528 713844 762192 807216 951792 1210824 1328543 1427688 1524384 1614432 1903584 2421648 2657086 2855376 3985629 4843296 5314172 5710752 7971258 10628344 11956887 15942516 21256688 23913774 31885032 42513376 47827548 63770064 95655096 127540128 191310192 382620384