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838401345 = 32529716271
BaseRepresentation
bin110001111110001…
…111110101000001
32011102121012102200
4301332033311001
53204112320340
6215105503413
726530202535
oct6176176501
92142535380
10838401345
113a028a381
121b4941b69
13104909b92
147d4c3bc5
154d910330
hex31f8fd41

838401345 has 24 divisors (see below), whose sum is σ = 1453949952. Its totient is φ = 446925600.

The previous prime is 838401341. The next prime is 838401379. The reversal of 838401345 is 543104838.

It is not a de Polignac number, because 838401345 - 22 = 838401341 is a prime.

It is not an unprimeable number, because it can be changed into a prime (838401341) 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 23 ways as a sum of consecutive naturals, for example, 130560 + ... + 136830.

It is an arithmetic number, because the mean of its divisors is an integer number (60581248).

Almost surely, 2838401345 is an apocalyptic number.

It is an amenable number.

838401345 is a deficient number, since it is larger than the sum of its proper divisors (615548607).

838401345 is a wasteful number, since it uses less digits than its factorization.

838401345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9253 (or 9250 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 838401345 is about 28955.1609389414. The cubic root of 838401345 is about 942.9398472808.

The spelling of 838401345 in words is "eight hundred thirty-eight million, four hundred one thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 2971 6271 8913 14855 18813 26739 31355 44565 56439 94065 133695 282195 18631141 55893423 93155705 167680269 279467115 838401345