Search a number
-
+
10024434342 = 2331314279821
BaseRepresentation
bin10010101011000000…
…01011101010100110
3221212121202000202000
421111200023222212
5131012223344332
64334414230130
7503262200046
oct112540135246
927777660660
1010024434342
11428459398a
121b391b5346
13c39a94070
146b14c3726
153da0d7b7c
hex25580baa6

10024434342 has 32 divisors (see below), whose sum is σ = 23990100960. Its totient is φ = 3084441120.

The previous prime is 10024434337. The next prime is 10024434349. The reversal of 10024434342 is 24343442001.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10024434349) 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, 7139209 + ... + 7140612.

It is an arithmetic number, because the mean of its divisors is an integer number (749690655).

Almost surely, 210024434342 is an apocalyptic number.

10024434342 is an abundant number, since it is smaller than the sum of its proper divisors (13965666618).

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

10024434342 is a wasteful number, since it uses less digits than its factorization.

10024434342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14279845 (or 14279839 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 10024434342 its reverse (24343442001), we get a palindrome (34367876343).

It can be divided in two parts, 1002 and 4434342, that added together give a palindrome (4435344).

The spelling of 10024434342 in words is "ten billion, twenty-four million, four hundred thirty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 14279821 28559642 42839463 85678926 128518389 185637673 257036778 371275346 385555167 556913019 771110334 1113826038 1670739057 3341478114 5012217171 10024434342