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1339294656 = 26372142357
BaseRepresentation
bin100111111010100…
…0000001111000000
310110100010012212210
41033311000033000
510220324412111
6340521422120
745121550100
oct11765001700
93410105783
101339294656
11627aa6997
1231463a940
1318461575b
14c9c2d200
157c8a30a6
hex4fd403c0

1339294656 has 84 divisors (see below), whose sum is σ = 4122118248. Its totient is φ = 382652928.

The previous prime is 1339294639. The next prime is 1339294681. The reversal of 1339294656 is 6564929331.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61771 + ... + 80586.

Almost surely, 21339294656 is an apocalyptic number.

1339294656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1339294656 is an abundant number, since it is smaller than the sum of its proper divisors (2782823592).

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

1339294656 is a wasteful number, since it uses less digits than its factorization.

1339294656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142386 (or 142369 counting only the distinct ones).

The product of its digits is 1049760, while the sum is 48.

The square root of 1339294656 is about 36596.3749024408. The cubic root of 1339294656 is about 1102.2802988775.

The spelling of 1339294656 in words is "one billion, three hundred thirty-nine million, two hundred ninety-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 392 448 588 672 784 1176 1344 1568 2352 3136 4704 9408 142357 284714 427071 569428 854142 996499 1138856 1708284 1992998 2277712 2989497 3416568 3985996 4555424 5978994 6833136 6975493 7971992 9110848 11957988 13666272 13950986 15943984 20926479 23915976 27332544 27901972 31887968 41852958 47831952 55803944 63775936 83705916 95663904 111607888 167411832 191327808 223215776 334823664 446431552 669647328 1339294656