Base | Representation |
---|---|
bin | 10100000101110… |
… | …110100000000000 |
3 | 212111021100110110 |
4 | 110011312200000 |
5 | 1142243001042 |
6 | 53240431320 |
7 | 11232055326 |
oct | 2405664000 |
9 | 774240413 |
10 | 337078272 |
11 | 1632a9993 |
12 | 94a78540 |
13 | 54ab07cb |
14 | 32aa5d16 |
15 | 1e8d509c |
hex | 14176800 |
337078272 has 96 divisors (see below), whose sum is σ = 910859040. Its totient is φ = 110837760.
The previous prime is 337078267. The next prime is 337078277. The reversal of 337078272 is 272870733.
It is an interprime number because it is at equal distance from previous prime (337078267) and next prime (337078277).
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×3370782722 = 227243522909011968, which contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 337078272.
It is not an unprimeable number, because it can be changed into a prime (337078277) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 509622 + ... + 510282.
It is an arithmetic number, because the mean of its divisors is an integer number (9488115).
Almost surely, 2337078272 is an apocalyptic number.
337078272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 337078272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455429520).
337078272 is an abundant number, since it is smaller than the sum of its proper divisors (573780768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
337078272 is an equidigital number, since it uses as much as digits as its factorization.
337078272 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 769 (or 749 counting only the distinct ones).
The product of its (nonzero) digits is 98784, while the sum is 39.
The square root of 337078272 is about 18359.6915006761. The cubic root of 337078272 is about 695.9482059489.
The spelling of 337078272 in words is "three hundred thirty-seven million, seventy-eight thousand, two hundred seventy-two".
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