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1631010340 = 225415337529
BaseRepresentation
bin110000100110111…
…0011111000100100
311012200000220120101
41201031303320210
511320014312330
6425502113444
755263234121
oct14115637044
94180026511
101631010340
11767732233
1239627b884
131ccba289b
14116887748
15982c74ca
hex61373e24

1631010340 has 48 divisors (see below), whose sum is σ = 3574957680. Its totient is φ = 624465920.

The previous prime is 1631010323. The next prime is 1631010371. The reversal of 1631010340 is 430101361.

It can be written as a sum of positive squares in 8 ways, for example, as 441588196 + 1189422144 = 21014^2 + 34488^2 .

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, 24696 + ... + 62224.

It is an arithmetic number, because the mean of its divisors is an integer number (74478285).

Almost surely, 21631010340 is an apocalyptic number.

1631010340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1631010340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1787478840).

1631010340 is an abundant number, since it is smaller than the sum of its proper divisors (1943947340).

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

1631010340 is a wasteful number, since it uses less digits than its factorization.

1631010340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37632 (or 37630 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 1631010340 is about 40385.7690282109. The cubic root of 1631010340 is about 1177.1150293004.

The spelling of 1631010340 in words is "one billion, six hundred thirty-one million, ten thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 41 53 82 106 164 205 212 265 410 530 820 1060 2173 4346 8692 10865 21730 37529 43460 75058 150116 187645 375290 750580 1538689 1989037 3077378 3978074 6154756 7693445 7956148 9945185 15386890 19890370 30773780 39780740 81550517 163101034 326202068 407752585 815505170 1631010340