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368091136 = 21373131
BaseRepresentation
bin10101111100001…
…010000000000000
3221122121222010001
4111330022000000
51223212404021
6100305245344
712056503000
oct2574120000
9848558101
10368091136
11179861356
12a3333854
135b34b80a
1436c5a000
15224ae091
hex15f0a000

368091136 has 112 divisors (see below), whose sum is σ = 865022400. Its totient is φ = 156549120.

The previous prime is 368091127. The next prime is 368091187. The reversal of 368091136 is 631190863.

It is a tau number, because it is divible by the number of its divisors (112).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 368091095 and 368091104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2809791 + ... + 2809921.

Almost surely, 2368091136 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 368091136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432511200).

368091136 is an abundant number, since it is smaller than the sum of its proper divisors (496931264).

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

368091136 is an frugal number, since it uses more digits than its factorization.

368091136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 368091136 is about 19185.7013424060. The cubic root of 368091136 is about 716.6687259601.

The spelling of 368091136 in words is "three hundred sixty-eight million, ninety-one thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 131 196 224 256 262 343 392 448 512 524 686 784 896 917 1024 1048 1372 1568 1792 1834 2048 2096 2744 3136 3584 3668 4096 4192 5488 6272 6419 7168 7336 8192 8384 10976 12544 12838 14336 14672 16768 21952 25088 25676 28672 29344 33536 43904 44933 50176 51352 57344 58688 67072 87808 89866 100352 102704 117376 134144 175616 179732 200704 205408 234752 268288 351232 359464 401408 410816 469504 536576 702464 718928 821632 939008 1073152 1404928 1437856 1643264 1878016 2809856 2875712 3286528 3756032 5751424 6573056 7512064 11502848 13146112 23005696 26292224 46011392 52584448 92022784 184045568 368091136