Search a number
-
+
318069504 = 28355113
BaseRepresentation
bin10010111101010…
…101101100000000
3211011111121100000
4102331111230000
51122411211004
651321200000
710611355224
oct2275255400
9734447300
10318069504
111535a6365
128a630000
1350b8660c
1430358784
151cdccc39
hex12f55b00

318069504 has 108 divisors (see below), whose sum is σ = 951224456. Its totient is φ = 106002432.

The previous prime is 318069491. The next prime is 318069509. The reversal of 318069504 is 405960813.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (318069509) 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 11 ways as a sum of consecutive naturals, for example, 59652 + ... + 64764.

Almost surely, 2318069504 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 318069504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475612228).

318069504 is an abundant number, since it is smaller than the sum of its proper divisors (633154952).

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

318069504 is an frugal number, since it uses more digits than its factorization.

318069504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5144 (or 5118 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 318069504 is about 17834.5031890434. The cubic root of 318069504 is about 682.6121443544.

The spelling of 318069504 in words is "three hundred eighteen million, sixty-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 768 864 972 1152 1296 1728 1944 2304 2592 3456 3888 5113 5184 6912 7776 10226 10368 15339 15552 20452 20736 30678 31104 40904 46017 61356 62208 81808 92034 122712 138051 163616 184068 245424 276102 327232 368136 414153 490848 552204 654464 736272 828306 981696 1104408 1242459 1308928 1472544 1656612 1963392 2208816 2484918 2945088 3313224 3926784 4417632 4969836 5890176 6626448 8835264 9939672 11780352 13252896 17670528 19879344 26505792 35341056 39758688 53011584 79517376 106023168 159034752 318069504