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337138116 = 223716324623
BaseRepresentation
bin10100000110000…
…101000111000100
3212111101101112220
4110012011013010
51142301404431
653242012340
711232424650
oct2406050704
9774341486
10337138116
1116333a947
1294aa70b0
1354b01b13
1432abda60
151e8e7b96
hex141851c4

337138116 has 48 divisors (see below), whose sum is σ = 904587264. Its totient is φ = 95730336.

The previous prime is 337138093. The next prime is 337138129. The reversal of 337138116 is 611831733.

It is a super-2 number, since 2×3371381162 = 227324218520058912, which contains 22 as substring.

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, 1381 + ... + 26003.

It is an arithmetic number, because the mean of its divisors is an integer number (18845568).

Almost surely, 2337138116 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 337138116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452293632).

337138116 is an abundant number, since it is smaller than the sum of its proper divisors (567449148).

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

337138116 is a wasteful number, since it uses less digits than its factorization.

337138116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24800 (or 24798 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 337138116 is about 18361.3211942932. The cubic root of 337138116 is about 695.9893891235.

Adding to 337138116 its reverse (611831733), we get a palindrome (948969849).

The spelling of 337138116 in words is "three hundred thirty-seven million, one hundred thirty-eight thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 163 326 489 652 978 1141 1956 2282 3423 4564 6846 13692 24623 49246 73869 98492 147738 172361 295476 344722 517083 689444 1034166 2068332 4013549 8027098 12040647 16054196 24081294 28094843 48162588 56189686 84284529 112379372 168569058 337138116