Search a number
-
+
336060192 = 253131132383
BaseRepresentation
bin10100000001111…
…101111100100000
3212102100121220210
4110001331330200
51142012411232
653202534120
711220315216
oct2401757440
9772317823
10336060192
11162773aa6
1294667340
13548152b0
14328bccb6
151e7835cc
hex1407df20

336060192 has 96 divisors (see below), whose sum is σ = 958825728. Its totient is φ = 102445056.

The previous prime is 336060191. The next prime is 336060209. The reversal of 336060192 is 291060633.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3360601922 = 225872905294153728, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (336060191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139833 + ... + 142215.

It is an arithmetic number, because the mean of its divisors is an integer number (9987768).

Almost surely, 2336060192 is an apocalyptic number.

336060192 is a gapful number since it is divisible by the number (32) 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 336060192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479412864).

336060192 is an abundant number, since it is smaller than the sum of its proper divisors (622765536).

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

336060192 is a wasteful number, since it uses less digits than its factorization.

336060192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2522 (or 2514 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 336060192 is about 18331.9445777037. The cubic root of 336060192 is about 695.2468401882.

The spelling of 336060192 in words is "three hundred thirty-six million, sixty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 113 156 208 226 312 339 416 452 624 678 904 1248 1356 1469 1808 2383 2712 2938 3616 4407 4766 5424 5876 7149 8814 9532 10848 11752 14298 17628 19064 23504 28596 30979 35256 38128 47008 57192 61958 70512 76256 92937 114384 123916 141024 185874 228768 247832 269279 371748 495664 538558 743496 807837 991328 1077116 1486992 1615674 2154232 2973984 3231348 3500627 4308464 6462696 7001254 8616928 10501881 12925392 14002508 21003762 25850784 28005016 42007524 56010032 84015048 112020064 168030096 336060192