Search a number
-
+
368902656 = 2932223359
BaseRepresentation
bin10101111111010…
…000001000000000
3221201011012022100
4111333100020000
51223414341111
6100334510400
712066422643
oct2577201000
9851135270
10368902656
1117a266031
12a3665400
135b573cc5
1436dcba5a
15225be756
hex15fd0200

368902656 has 120 divisors (see below), whose sum is σ = 1072431360. Its totient is φ = 122075136.

The previous prime is 368902627. The next prime is 368902663. The reversal of 368902656 is 656209863.

It is a happy number.

368902656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1027405 + ... + 1027763.

It is an arithmetic number, because the mean of its divisors is an integer number (8936928).

Almost surely, 2368902656 is an apocalyptic number.

368902656 is a gapful number since it is divisible by the number (36) 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 368902656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536215680).

368902656 is an abundant number, since it is smaller than the sum of its proper divisors (703528704).

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

368902656 is a wasteful number, since it uses less digits than its factorization.

368902656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 368902656 is about 19206.8387820589. The cubic root of 368902656 is about 717.1950124008.

The spelling of 368902656 in words is "three hundred sixty-eight million, nine hundred two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 223 256 288 359 384 446 512 576 669 718 768 892 1077 1152 1338 1436 1536 1784 2007 2154 2304 2676 2872 3231 3568 4014 4308 4608 5352 5744 6462 7136 8028 8616 10704 11488 12924 14272 16056 17232 21408 22976 25848 28544 32112 34464 42816 45952 51696 57088 64224 68928 80057 85632 91904 103392 114176 128448 137856 160114 171264 183808 206784 240171 256896 275712 320228 342528 413568 480342 513792 551424 640456 720513 827136 960684 1027584 1280912 1441026 1654272 1921368 2561824 2882052 3842736 5123648 5764104 7685472 10247296 11528208 15370944 20494592 23056416 30741888 40989184 46112832 61483776 92225664 122967552 184451328 368902656