Search a number
-
+
387238644 = 223413891033
BaseRepresentation
bin10111000101001…
…100101011110100
3222222122202120000
4113011030223310
51243113114034
6102231511300
712411321432
oct2705145364
9888582500
10387238644
1118964a141
12a9828530
13622c3bc0
1439601d52
1523ee2599
hex1714caf4

387238644 has 120 divisors (see below), whose sum is σ = 1103505480. Its totient is φ = 117697536.

The previous prime is 387238613. The next prime is 387238651. The reversal of 387238644 is 446832783.

It can be written as a sum of positive squares in 4 ways, for example, as 40832100 + 346406544 = 6390^2 + 18612^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 387238644.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 374352 + ... + 375384.

It is an arithmetic number, because the mean of its divisors is an integer number (9195879).

Almost surely, 2387238644 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 387238644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551752740).

387238644 is an abundant number, since it is smaller than the sum of its proper divisors (716266836).

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

387238644 is a wasteful number, since it uses less digits than its factorization.

387238644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1140 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 387238644 is about 19678.3801162596. The cubic root of 387238644 is about 728.8859243337.

The spelling of 387238644 in words is "three hundred eighty-seven million, two hundred thirty-eight thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 89 108 117 156 162 178 234 267 324 351 356 468 534 702 801 1033 1053 1068 1157 1404 1602 2066 2106 2314 2403 3099 3204 3471 4132 4212 4628 4806 6198 6942 7209 9297 9612 10413 12396 13429 13884 14418 18594 20826 26858 27891 28836 31239 37188 40287 41652 53716 55782 62478 80574 83673 91937 93717 111564 120861 124956 161148 167346 183874 187434 241722 275811 334692 362583 367748 374868 483444 551622 725166 827433 1087749 1103244 1195181 1450332 1654866 2175498 2390362 2482299 3309732 3585543 4350996 4780724 4964598 7171086 7446897 9929196 10756629 14342172 14893794 21513258 29787588 32269887 43026516 64539774 96809661 129079548 193619322 387238644