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1293434337 = 313139397601
BaseRepresentation
bin100110100011000…
…0011110111100001
310100010211021100110
41031012003313201
510122104344322
6332202441533
744024003406
oct11506036741
93303737313
101293434337
116041233a8
123012032a9
13177c79680
14c3ad22ad
1578844c0c
hex4d183de1

1293434337 has 32 divisors (see below), whose sum is σ = 1878432640. Its totient is φ = 786931200.

The previous prime is 1293434293. The next prime is 1293434353. The reversal of 1293434337 is 7334343921.

It is a happy number.

It is not a de Polignac number, because 1293434337 - 215 = 1293401569 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1293434295 and 1293434304.

It is not an unprimeable number, because it can be changed into a prime (1293434357) 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, 2151837 + ... + 2152437.

It is an arithmetic number, because the mean of its divisors is an integer number (58701020).

Almost surely, 21293434337 is an apocalyptic number.

It is an amenable number.

1293434337 is a deficient number, since it is larger than the sum of its proper divisors (584998303).

1293434337 is a wasteful number, since it uses less digits than its factorization.

1293434337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153.

The product of its digits is 163296, while the sum is 39.

The square root of 1293434337 is about 35964.3481381215. The cubic root of 1293434337 is about 1089.5524175885.

The spelling of 1293434337 in words is "one billion, two hundred ninety-three million, four hundred thirty-four thousand, three hundred thirty-seven".

Divisors: 1 3 13 39 139 397 417 601 1191 1803 1807 5161 5421 7813 15483 23439 55183 83539 165549 238597 250617 715791 717379 1086007 2152137 3101761 3258021 9305283 33164983 99494949 431144779 1293434337