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2034788401 = 591132391277
BaseRepresentation
bin111100101001000…
…0110100000110001
312020210210221221101
41321102012200301
513131401212101
6533524324401
7101265262462
oct17122064061
95223727841
102034788401
11954648708
12489543701
13265737a09
14154352d69
15bd985401
hex79486831

2034788401 has 16 divisors (see below), whose sum is σ = 2097964800. Its totient is φ = 1972757248.

The previous prime is 2034788389. The next prime is 2034788419. The reversal of 2034788401 is 1048874302.

It is a cyclic number.

It is not a de Polignac number, because 2034788401 - 215 = 2034755633 is a prime.

It is a super-3 number, since 3×20347884013 (a number of 29 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2034788201) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1592775 + ... + 1594051.

It is an arithmetic number, because the mean of its divisors is an integer number (131122800).

Almost surely, 22034788401 is an apocalyptic number.

It is an amenable number.

2034788401 is a deficient number, since it is larger than the sum of its proper divisors (63176399).

2034788401 is a wasteful number, since it uses less digits than its factorization.

2034788401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688.

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 2034788401 is about 45108.6288973629. The cubic root of 2034788401 is about 1267.1842054649.

The spelling of 2034788401 in words is "two billion, thirty-four million, seven hundred eighty-eight thousand, four hundred one".

Divisors: 1 59 113 239 1277 6667 14101 27007 75343 144301 305203 1593413 8513759 18006977 34487939 2034788401