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2045140350 = 2352113733323
BaseRepresentation
bin111100111100110…
…0101110101111110
312021112021220010220
41321321211311332
513142023442400
6534534242210
7101452256211
oct17171456576
95245256126
102045140350
1195a479240
12490ab6366
13267920826
14155889778
15be82c7a0
hex79e65d7e

2045140350 has 96 divisors (see below), whose sum is σ = 5549537664. Its totient is φ = 494313600.

The previous prime is 2045140343. The next prime is 2045140379. The reversal of 2045140350 is 530415402.

It is a self number, because there is not a number n which added to its sum of digits gives 2045140350.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 613789 + ... + 617111.

It is an arithmetic number, because the mean of its divisors is an integer number (57807684).

Almost surely, 22045140350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2045140350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2774768832).

2045140350 is an abundant number, since it is smaller than the sum of its proper divisors (3504397314).

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

2045140350 is a wasteful number, since it uses less digits than its factorization.

2045140350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3722 (or 3717 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2045140350 is about 45223.2279918185. The cubic root of 2045140350 is about 1269.3294970599.

Adding to 2045140350 its reverse (530415402), we get a palindrome (2575555752).

The spelling of 2045140350 in words is "two billion, forty-five million, one hundred forty thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 275 330 373 550 746 825 1119 1650 1865 2238 3323 3730 4103 5595 6646 8206 9325 9969 11190 12309 16615 18650 19938 20515 24618 27975 33230 36553 41030 49845 55950 61545 73106 83075 99690 102575 109659 123090 166150 182765 205150 219318 249225 307725 365530 498450 548295 615450 913825 1096590 1239479 1827650 2478958 2741475 3718437 5482950 6197395 7436874 12394790 13634269 18592185 27268538 30986975 37184370 40902807 61973950 68171345 81805614 92960925 136342690 185921850 204514035 340856725 409028070 681713450 1022570175 2045140350