Search a number
-
+
10342110732 = 22329257115637
BaseRepresentation
bin10011010000111000…
…00001011000001100
3222200202111122211020
421220130001120030
5132140040020412
64430123154140
7514200330222
oct115034013014
928622448736
1010342110732
114427940958
122007675950
13c8a840765
14701778b12
15407e3918c
hex26870160c

10342110732 has 48 divisors (see below), whose sum is σ = 25061067360. Its totient is φ = 3315515392.

The previous prime is 10342110731. The next prime is 10342110743. The reversal of 10342110732 is 23701124301.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10342110731) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31618 + ... + 147254.

It is an arithmetic number, because the mean of its divisors is an integer number (522105570).

Almost surely, 210342110732 is an apocalyptic number.

10342110732 is a gapful number since it is divisible by the number (12) 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 10342110732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12530533680).

10342110732 is an abundant number, since it is smaller than the sum of its proper divisors (14718956628).

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

10342110732 is a wasteful number, since it uses less digits than its factorization.

10342110732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115930 (or 115928 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The spelling of 10342110732 in words is "ten billion, three hundred forty-two million, one hundred ten thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 257 348 514 771 1028 1542 3084 7453 14906 22359 29812 44718 89436 115637 231274 346911 462548 693822 1387644 3353473 6706946 10060419 13413892 20120838 29718709 40241676 59437418 89156127 118874836 178312254 356624508 861842561 1723685122 2585527683 3447370244 5171055366 10342110732