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1339940256 = 25323606857
BaseRepresentation
bin100111111011101…
…1101110110100000
310110101100000110220
41033313131312200
510221011042011
6340543323040
745130206234
oct11767356640
93411300426
101339940256
116283a7a46
123148b0480
131847b0575
14c9d5a5c4
157c97e506
hex4fdddda0

1339940256 has 48 divisors (see below), whose sum is σ = 3670277184. Its totient is φ = 427226624.

The previous prime is 1339940227. The next prime is 1339940257. The reversal of 1339940256 is 6520499331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1339940257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 301221 + ... + 305636.

It is an arithmetic number, because the mean of its divisors is an integer number (76464108).

Almost surely, 21339940256 is an apocalyptic number.

1339940256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1339940256 is an abundant number, since it is smaller than the sum of its proper divisors (2330336928).

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

1339940256 is a wasteful number, since it uses less digits than its factorization.

1339940256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606893 (or 606885 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The square root of 1339940256 is about 36605.1943854967. The cubic root of 1339940256 is about 1102.4573865811.

The spelling of 1339940256 in words is "one billion, three hundred thirty-nine million, nine hundred forty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 606857 1213714 1820571 2427428 3641142 4854856 7282284 9709712 13957711 14564568 19419424 27915422 29129136 41873133 55830844 58258272 83746266 111661688 167492532 223323376 334985064 446646752 669970128 1339940256