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304203105252 = 22342617358769
BaseRepresentation
bin1000110110100111110…
…10110000001111100100
31002002012102210220020000
410123103322300033210
514441001443332002
6351425440141300
730656302505454
oct4332372601744
91062172726200
10304203105252
111080147a4502
124ab59007830
13228bc853b37
1410a1b445d64
157da66a361c
hex46d3eb03e4

304203105252 has 60 divisors (see below), whose sum is σ = 795553101420. Its totient is φ = 101362005504.

The previous prime is 304203105229. The next prime is 304203105257. The reversal of 304203105252 is 252501302403.

It is a happy number.

304203105252 is a `hidden beast` number, since 304 + 2 + 0 + 3 + 105 + 252 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 158144610276 + 146058494976 = 397674^2 + 382176^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (304203105257) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 668524 + ... + 1027292.

It is an arithmetic number, because the mean of its divisors is an integer number (13259218357).

Almost surely, 2304203105252 is an apocalyptic number.

It is an amenable number.

304203105252 is an abundant number, since it is smaller than the sum of its proper divisors (491349996168).

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

304203105252 is a wasteful number, since it uses less digits than its factorization.

304203105252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361402 (or 361391 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 304203105252 its reverse (252501302403), we get a palindrome (556704407655).

The spelling of 304203105252 in words is "three hundred four billion, two hundred three million, one hundred five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 2617 5234 7851 10468 15702 23553 31404 47106 70659 94212 141318 211977 282636 358769 423954 717538 847908 1076307 1435076 2152614 3228921 4305228 6457842 9686763 12915684 19373526 29060289 38747052 58120578 116241156 938898473 1877796946 2816695419 3755593892 5633390838 8450086257 11266781676 16900172514 25350258771 33800345028 50700517542 76050776313 101401035084 152101552626 304203105252