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382391064 = 233311179467
BaseRepresentation
bin10110110010101…
…101001100011000
3222122112110221000
4112302231030120
51240343003224
6101535545000
712322161516
oct2662551430
9878473830
10382391064
11186939080
12a808b160
13612b7603
1438add4b6
15238860c9
hex16cad318

382391064 has 128 divisors (see below), whose sum is σ = 1227052800. Its totient is φ = 109048320.

The previous prime is 382391059. The next prime is 382391101. The reversal of 382391064 is 460193283.

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 31 ways as a sum of consecutive naturals, for example, 35659 + ... + 45125.

It is an arithmetic number, because the mean of its divisors is an integer number (9586350).

Almost surely, 2382391064 is an apocalyptic number.

382391064 is a gapful number since it is divisible by the number (34) 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 382391064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613526400).

382391064 is an abundant number, since it is smaller than the sum of its proper divisors (844661736).

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

382391064 is a wasteful number, since it uses less digits than its factorization.

382391064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9510 (or 9500 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 382391064 is about 19554.8220140200. The cubic root of 382391064 is about 725.8316664571.

The spelling of 382391064 in words is "three hundred eighty-two million, three hundred ninety-one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 27 33 34 36 44 51 54 66 68 72 88 99 102 108 132 136 153 187 198 204 216 264 297 306 374 396 408 459 561 594 612 748 792 918 1122 1188 1224 1496 1683 1836 2244 2376 3366 3672 4488 5049 6732 9467 10098 13464 18934 20196 28401 37868 40392 56802 75736 85203 104137 113604 160939 170406 208274 227208 255609 312411 321878 340812 416548 482817 511218 624822 643756 681624 833096 937233 965634 1022436 1249644 1287512 1448451 1770329 1874466 1931268 2044872 2499288 2811699 2896902 3540658 3748932 3862536 4345353 5310987 5623398 5793804 7081316 7497864 8690706 10621974 11246796 11587608 14162632 15932961 17381412 21243948 22493592 31865922 34762824 42487896 47798883 63731844 95597766 127463688 191195532 382391064