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2034859140 = 2232511304773
BaseRepresentation
bin111100101001001…
…0111110010000100
312020210221112222100
41321102113302010
513131410443030
6533530032100
7101266005636
oct17122276204
95223845870
102034859140
11954696876
12489578630
13265760c82
14154370a56
15bd99b360
hex79497c84

2034859140 has 36 divisors (see below), whose sum is σ = 6172406604. Its totient is φ = 542629056.

The previous prime is 2034859121. The next prime is 2034859171. The reversal of 2034859140 is 419584302.

2034859140 is a `hidden beast` number, since 20 + 3 + 4 + 8 + 591 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 397523844 + 1637335296 = 19938^2 + 40464^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2034859095 and 2034859104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5652207 + ... + 5652566.

It is an arithmetic number, because the mean of its divisors is an integer number (171455739).

Almost surely, 22034859140 is an apocalyptic number.

2034859140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2034859140 is an abundant number, since it is smaller than the sum of its proper divisors (4137547464).

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

2034859140 is a wasteful number, since it uses less digits than its factorization.

2034859140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11304788 (or 11304783 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2034859140 is about 45109.4129866484. The cubic root of 2034859140 is about 1267.1988897608.

The spelling of 2034859140 in words is "two billion, thirty-four million, eight hundred fifty-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 11304773 22609546 33914319 45219092 56523865 67828638 101742957 113047730 135657276 169571595 203485914 226095460 339143190 406971828 508714785 678286380 1017429570 2034859140