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382430664 = 233271126271
BaseRepresentation
bin10110110010110…
…110110111001000
3222122121111020200
4112302312313020
51240400240124
6101540452200
712322415130
oct2662666710
9878544220
10382430664
11186965900
12a80aa060
13612cc645
1438b0dac0
1523892bc9
hex16cb6dc8

382430664 has 144 divisors (see below), whose sum is σ = 1301314560. Its totient is φ = 99316800.

The previous prime is 382430639. The next prime is 382430677. The reversal of 382430664 is 466034283.

It is a happy number.

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 35 ways as a sum of consecutive naturals, for example, 57849 + ... + 64119.

Almost surely, 2382430664 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 382430664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650657280).

382430664 is an abundant number, since it is smaller than the sum of its proper divisors (918883896).

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

382430664 is a wasteful number, since it uses less digits than its factorization.

382430664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6312 (or 6294 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 382430664 is about 19555.8345257879. The cubic root of 382430664 is about 725.8567210365.

The spelling of 382430664 in words is "three hundred eighty-two million, four hundred thirty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 121 126 132 154 168 198 231 242 252 264 308 363 396 462 484 504 616 693 726 792 847 924 968 1089 1386 1452 1694 1848 2178 2541 2772 2904 3388 4356 5082 5544 6271 6776 7623 8712 10164 12542 15246 18813 20328 25084 30492 37626 43897 50168 56439 60984 68981 75252 87794 112878 131691 137962 150504 175588 206943 225756 263382 275924 351176 395073 413886 451512 482867 526764 551848 620829 758791 790146 827772 965734 1053528 1241658 1448601 1517582 1580292 1655544 1931468 2276373 2483316 2897202 3035164 3160584 3862936 4345803 4552746 4966632 5311537 5794404 6070328 6829119 8691606 9105492 10623074 11588808 13658238 15934611 17383212 18210984 21246148 27316476 31869222 34766424 42492296 47803833 54632952 63738444 95607666 127476888 191215332 382430664