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268073337 = 37193121673
BaseRepresentation
bin11111111101001…
…11100101111001
3200200102112111010
433332213211321
51022111321322
642333424133
76433404630
oct1776474571
9620375433
10268073337
11128358514
127593b049
13436ccb9c
1427862517
151880420c
hexffa7979

268073337 has 32 divisors (see below), whose sum is σ = 443883520. Its totient is φ = 140434560.

The previous prime is 268073329. The next prime is 268073339. The reversal of 268073337 is 733370862.

It is not a de Polignac number, because 268073337 - 23 = 268073329 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 268073295 and 268073304.

It is not an unprimeable number, because it can be changed into a prime (268073339) 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, 1533 + ... + 23205.

It is an arithmetic number, because the mean of its divisors is an integer number (13871360).

Almost surely, 2268073337 is an apocalyptic number.

It is an amenable number.

268073337 is a deficient number, since it is larger than the sum of its proper divisors (175810183).

268073337 is a wasteful number, since it uses less digits than its factorization.

268073337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21733.

The product of its (nonzero) digits is 127008, while the sum is 39.

The square root of 268073337 is about 16372.9452756674. The cubic root of 268073337 is about 644.7893765747.

It can be divided in two parts, 2680733 and 37, that added together give a triangular number (2680770 = T2315).

The spelling of 268073337 in words is "two hundred sixty-eight million, seventy-three thousand, three hundred thirty-seven".

Divisors: 1 3 7 19 21 31 57 93 133 217 399 589 651 1767 4123 12369 21673 65019 151711 411787 455133 671863 1235361 2015589 2882509 4703041 8647527 12765397 14109123 38296191 89357779 268073337