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840900307 = 13834791627
BaseRepresentation
bin110010000111110…
…001111011010011
32011121022011100211
4302013301323103
53210232302212
6215235224551
726560351252
oct6207617323
92147264324
10840900307
113a1736935
121b5748157
131052a3460
147d974799
154dc559a7
hex321f1ed3

840900307 has 16 divisors (see below), whose sum is σ = 918973440. Its totient is φ = 764792352.

The previous prime is 840900287. The next prime is 840900349. The reversal of 840900307 is 703009048.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-840900307 is a prime.

It is a super-2 number, since 2×8409003072 = 1414226652625388498, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (840900367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 516028 + ... + 517654.

It is an arithmetic number, because the mean of its divisors is an integer number (57435840).

Almost surely, 2840900307 is an apocalyptic number.

840900307 is a deficient number, since it is larger than the sum of its proper divisors (78073133).

840900307 is a wasteful number, since it uses less digits than its factorization.

840900307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2202.

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 840900307 is about 28998.2811042310. The cubic root of 840900307 is about 943.8757687919.

The spelling of 840900307 in words is "eight hundred forty million, nine hundred thousand, three hundred seven".

Divisors: 1 13 83 479 1079 1627 6227 21151 39757 135041 516841 779333 1755533 10131329 64684639 840900307