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810372340 = 225233734723
BaseRepresentation
bin110000010011010…
…100110011110100
32002110212011212101
4300103110303310
53124423403330
6212225031444
726040023401
oct6023246364
92073764771
10810372340
11386485808
121a7485584
13cbb7507b
14798a92a8
154b2254ca
hex304d4cf4

810372340 has 48 divisors (see below), whose sum is σ = 1780910208. Its totient is φ = 309158784.

The previous prime is 810372331. The next prime is 810372359. The reversal of 810372340 is 43273018.

It is a junction number, because it is equal to n+sod(n) for n = 810372299 and 810372308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169219 + ... + 173941.

It is an arithmetic number, because the mean of its divisors is an integer number (37102296).

Almost surely, 2810372340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 810372340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890455104).

810372340 is an abundant number, since it is smaller than the sum of its proper divisors (970537868).

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

810372340 is a wasteful number, since it uses less digits than its factorization.

810372340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5128 (or 5126 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 810372340 is about 28467.0395369803. The cubic root of 810372340 is about 932.3125628629.

The spelling of 810372340 in words is "eight hundred ten million, three hundred seventy-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 373 460 746 1492 1865 3730 4723 7460 8579 9446 17158 18892 23615 34316 42895 47230 85790 94460 108629 171580 217258 434516 543145 1086290 1761679 2172580 3523358 7046716 8808395 17616790 35233580 40518617 81037234 162074468 202593085 405186170 810372340