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942180304 = 2413291091433
BaseRepresentation
bin111000001010001…
…000011111010000
32102122212201101211
4320022020133100
53412144232204
6233254105504
732230254232
oct7012103720
92378781354
10942180304
1144392200a
1222364b294
13120274750
148d1ba252
1557aae804
hex382887d0

942180304 has 80 divisors (see below), whose sum is σ = 2053774800. Its totient is φ = 415715328.

The previous prime is 942180289. The next prime is 942180313. The reversal of 942180304 is 403081249.

It can be written as a sum of positive squares in 8 ways, for example, as 9000000 + 933180304 = 3000^2 + 30548^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 656772 + ... + 658204.

It is an arithmetic number, because the mean of its divisors is an integer number (25672185).

Almost surely, 2942180304 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 942180304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026887400).

942180304 is an abundant number, since it is smaller than the sum of its proper divisors (1111594496).

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

942180304 is a wasteful number, since it uses less digits than its factorization.

942180304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1592 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 942180304 is about 30694.9556767883. The cubic root of 942180304 is about 980.3428981941.

The spelling of 942180304 in words is "nine hundred forty-two million, one hundred eighty thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 109 116 208 218 232 377 436 464 754 872 1417 1433 1508 1744 2834 2866 3016 3161 5668 5732 6032 6322 11336 11464 12644 18629 22672 22928 25288 37258 41093 41557 50576 74516 82186 83114 149032 156197 164372 166228 298064 312394 328744 332456 540241 624788 657488 664912 1080482 1249576 2030561 2160964 2499152 4061122 4321928 4529713 8122244 8643856 9059426 16244488 18118852 32488976 36237704 58886269 72475408 117772538 235545076 471090152 942180304