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10342714660 = 2251728321559
BaseRepresentation
bin10011010000111100…
…10100110100100100
3222200210122100020221
421220132110310210
5132140213332120
64430144134124
7514205424025
oct115036246444
928623570227
1010342714660
114428213673
122007907344
13c8a9c2605
14701894c4c
154080080aa
hex268794d24

10342714660 has 72 divisors (see below), whose sum is σ = 23351549760. Its totient is φ = 3846637056.

The previous prime is 10342714651. The next prime is 10342714663. The reversal of 10342714660 is 6641724301.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (10342714663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 468961 + ... + 490519.

It is an arithmetic number, because the mean of its divisors is an integer number (324327080).

Almost surely, 210342714660 is an apocalyptic number.

10342714660 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 10342714660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11675774880).

10342714660 is an abundant number, since it is smaller than the sum of its proper divisors (13008835100).

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

10342714660 is a wasteful number, since it uses less digits than its factorization.

10342714660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21685 (or 21666 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The spelling of 10342714660 in words is "ten billion, three hundred forty-two million, seven hundred fourteen thousand, six hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 83 85 166 170 289 332 340 415 578 830 1156 1411 1445 1660 2822 2890 5644 5780 7055 14110 21559 23987 28220 43118 47974 86236 95948 107795 119935 215590 239870 366503 431180 479740 733006 1466012 1789397 1832515 3578794 3665030 6230551 7157588 7330060 8946985 12461102 17893970 24922204 30419749 31152755 35787940 60839498 62305510 121678996 124611020 152098745 304197490 517135733 608394980 1034271466 2068542932 2585678665 5171357330 10342714660