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2040661350 = 234527313113
BaseRepresentation
bin111100110100010…
…0000010101100110
312021012212100010000
41321220200111212
513134402130400
6534254242130
7101366223000
oct17150402546
95235770100
102040661350
1195799a092
1248b4b6346
13266a12c30
14155041370
15be245600
hex79a20566

2040661350 has 480 divisors, whose sum is σ = 7183915200. Its totient is φ = 426746880.

The previous prime is 2040661247. The next prime is 2040661373. The reversal of 2040661350 is 531660402.

2040661350 is a `hidden beast` number, since 2 + 0 + 40 + 6 + 613 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 18058894 + ... + 18059006.

It is an arithmetic number, because the mean of its divisors is an integer number (14966490).

Almost surely, 22040661350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2040661350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3591957600).

2040661350 is an abundant number, since it is smaller than the sum of its proper divisors (5143253850).

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

2040661350 is a wasteful number, since it uses less digits than its factorization.

2040661350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2040661350 is about 45173.6798368253. The cubic root of 2040661350 is about 1268.4021797252.

The spelling of 2040661350 in words is "two billion, forty million, six hundred sixty-one thousand, three hundred fifty".