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2040346746 = 234791311217
BaseRepresentation
bin111100110011101…
…0011100001111010
312021012021100120000
41321213103201322
513134312043441
6534243413430
7101363442534
oct17147234172
95235240500
102040346746
119577a4789
1248b384276
13266932989
14154d9c854
15be1d22b6
hex799d387a

2040346746 has 80 divisors (see below), whose sum is σ = 4668935040. Its totient is φ = 665832960.

The previous prime is 2040346741. The next prime is 2040346771. The reversal of 2040346746 is 6476430402.

It is a self number, because there is not a number n which added to its sum of digits gives 2040346746.

It is not an unprimeable number, because it can be changed into a prime (2040346741) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1675930 + ... + 1677146.

It is an arithmetic number, because the mean of its divisors is an integer number (58361688).

Almost surely, 22040346746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2040346746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2334467520).

2040346746 is an abundant number, since it is smaller than the sum of its proper divisors (2628588294).

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

2040346746 is a wasteful number, since it uses less digits than its factorization.

2040346746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 2040346746 is about 45170.1975421848. The cubic root of 2040346746 is about 1268.3369941735.

The spelling of 2040346746 in words is "two billion, forty million, three hundred forty-six thousand, seven hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 79 81 131 158 162 237 262 393 474 711 786 1179 1217 1422 2133 2358 2434 3537 3651 4266 6399 7074 7302 10349 10611 10953 12798 20698 21222 21906 31047 32859 62094 65718 93141 96143 98577 159427 186282 192286 197154 279423 288429 318854 478281 558846 576858 838269 865287 956562 1434843 1676538 1730574 2595861 2869686 4304529 5191722 7787583 8609058 12594733 12913587 15575166 25189466 25827174 37784199 75568398 113352597 226705194 340057791 680115582 1020173373 2040346746