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318652420 = 2251719107461
BaseRepresentation
bin10010111111100…
…100000000000100
3211012121012221111
4102333210000010
51123033334140
651341454404
710616333542
oct2277440004
9735535844
10318652420
11153964309
128a871404
135102ba38
143046ad92
151ce957ea
hex12fe4004

318652420 has 96 divisors (see below), whose sum is σ = 754427520. Its totient is φ = 112343040.

The previous prime is 318652393. The next prime is 318652423. The reversal of 318652420 is 24256813.

It is not an unprimeable number, because it can be changed into a prime (318652423) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 690990 + ... + 691450.

It is an arithmetic number, because the mean of its divisors is an integer number (7858620).

Almost surely, 2318652420 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 318652420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377213760).

318652420 is an abundant number, since it is smaller than the sum of its proper divisors (435775100).

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

318652420 is a wasteful number, since it uses less digits than its factorization.

318652420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 318652420 is about 17850.8380755638. The cubic root of 318652420 is about 683.0288904917.

The spelling of 318652420 in words is "three hundred eighteen million, six hundred fifty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 107 170 190 214 323 340 380 428 461 535 646 922 1070 1292 1615 1819 1844 2033 2140 2305 3230 3638 4066 4610 6460 7276 7837 8132 8759 9095 9220 10165 15674 17518 18190 20330 31348 34561 35036 36380 39185 40660 43795 49327 69122 78370 87590 98654 138244 148903 156740 172805 175180 197308 246635 297806 345610 493270 595612 691220 744515 838559 937213 986540 1489030 1677118 1874426 2978060 3354236 3748852 4192795 4686065 8385590 9372130 15932621 16771180 18744260 31865242 63730484 79663105 159326210 318652420