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337113426 = 231323111069
BaseRepresentation
bin10100000101111…
…111000101010010
3212111100010200110
4110011333011102
51142300112201
653241302150
711232262656
oct2405770522
9774303613
10337113426
11163323341
1294a94956
1354ac3800
1432ab4a66
151e8e06d6
hex1417f152

337113426 has 48 divisors (see below), whose sum is σ = 733112640. Its totient is φ = 103296960.

The previous prime is 337113397. The next prime is 337113473. The reversal of 337113426 is 624311733.

It is a super-2 number, since 2×3371134262 = 227290923978914952, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 337113393 and 337113402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 314820 + ... + 315888.

It is an arithmetic number, because the mean of its divisors is an integer number (15273180).

Almost surely, 2337113426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 337113426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366556320).

337113426 is an abundant number, since it is smaller than the sum of its proper divisors (395999214).

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

337113426 is a wasteful number, since it uses less digits than its factorization.

337113426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411 (or 1398 counting only the distinct ones).

The product of its digits is 9072, while the sum is 30.

The square root of 337113426 is about 18360.6488447440. The cubic root of 337113426 is about 695.9723986610.

The spelling of 337113426 in words is "three hundred thirty-seven million, one hundred thirteen thousand, four hundred twenty-six".

Divisors: 1 2 3 6 13 26 39 78 169 311 338 507 622 933 1014 1069 1866 2138 3207 4043 6414 8086 12129 13897 24258 27794 41691 52559 83382 105118 157677 180661 315354 332459 361322 541983 664918 997377 1083966 1994754 4321967 8643934 12965901 25931802 56185571 112371142 168556713 337113426