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337420083 = 371113112361
BaseRepresentation
bin10100000111001…
…001111100110011
3212111220201100010
4110013021330303
51142334420313
653252030003
711235011010
oct2407117463
9774821303
10337420083
11163512780
1295002303
1354ba0270
1432b54707
151e9514c3
hex141c9f33

337420083 has 32 divisors (see below), whose sum is σ = 604058112. Its totient is φ = 161798400.

The previous prime is 337420079. The next prime is 337420091. The reversal of 337420083 is 380024733.

It is not a de Polignac number, because 337420083 - 22 = 337420079 is a prime.

It is a super-2 number, since 2×3374200832 = 227704624823453778, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 337420083.

It is not an unprimeable number, because it can be changed into a prime (337420033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53178 + ... + 59183.

It is an arithmetic number, because the mean of its divisors is an integer number (18876816).

Almost surely, 2337420083 is an apocalyptic number.

337420083 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

337420083 is a deficient number, since it is larger than the sum of its proper divisors (266638029).

337420083 is a wasteful number, since it uses less digits than its factorization.

337420083 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112395.

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 337420083 is about 18368.9978768576. The cubic root of 337420083 is about 696.1833663549.

The spelling of 337420083 in words is "three hundred thirty-seven million, four hundred twenty thousand, eighty-three".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 429 1001 3003 112361 337083 786527 1235971 1460693 2359581 3707913 4382079 8651797 10224851 16067623 25955391 30674553 48202869 112473361 337420083