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318190356 = 223411731223
BaseRepresentation
bin10010111101110…
…011001100010100
3211011201202010000
4102331303030110
51122424042411
651323531300
710612400451
oct2275631424
9734652100
10318190356
11153679140
128a689b30
1350bc9623
143038a828
151ce03956
hex12f73314

318190356 has 120 divisors (see below), whose sum is σ = 920614464. Its totient is φ = 95022720.

The previous prime is 318190351. The next prime is 318190357. The reversal of 318190356 is 653091813.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 318190356.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (318190351) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 259561 + ... + 260783.

Almost surely, 2318190356 is an apocalyptic number.

318190356 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 318190356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460307232).

318190356 is an abundant number, since it is smaller than the sum of its proper divisors (602424108).

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

318190356 is a wasteful number, since it uses less digits than its factorization.

318190356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 318190356 is about 17837.8910188396. The cubic root of 318190356 is about 682.6985873025.

The spelling of 318190356 in words is "three hundred eighteen million, one hundred ninety thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 73 81 99 108 132 146 162 198 219 292 297 324 396 438 594 657 803 876 891 1188 1223 1314 1606 1782 1971 2409 2446 2628 3212 3564 3669 3942 4818 4892 5913 7227 7338 7884 9636 11007 11826 13453 14454 14676 21681 22014 23652 26906 28908 33021 40359 43362 44028 53812 65043 66042 80718 86724 89279 99063 121077 130086 132084 161436 178558 198126 242154 260172 267837 357116 363231 396252 484308 535674 726462 803511 982069 1071348 1089693 1452924 1607022 1964138 2179386 2410533 2946207 3214044 3928276 4358772 4821066 5892414 7231599 8838621 9642132 11784828 14463198 17677242 26515863 28926396 35354484 53031726 79547589 106063452 159095178 318190356