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10344240240 = 2435172535353
BaseRepresentation
bin10011010001001000…
…01001010001110000
3222200220111211221220
421220210021101300
5132141111141430
64430240545040
7514224406545
oct115044112160
928626454856
1010344240240
114429065884
122008322180
13c8b107b19
14701b70bcc
1540820a110
hex268909470

10344240240 has 80 divisors (see below), whose sum is σ = 33953460768. Its totient is φ = 2596200448.

The previous prime is 10344240229. The next prime is 10344240299. The reversal of 10344240240 is 4204244301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×103442402402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10344240240.

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, 1263597 + ... + 1271756.

Almost surely, 210344240240 is an apocalyptic number.

10344240240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10344240240 is an abundant number, since it is smaller than the sum of its proper divisors (23609220528).

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

10344240240 is a wasteful number, since it uses less digits than its factorization.

10344240240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2535386 (or 2535380 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 10344240240 its reverse (4204244301), we get a palindrome (14548484541).

The spelling of 10344240240 in words is "ten billion, three hundred forty-four million, two hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 2535353 5070706 7606059 10141412 12676765 15212118 20282824 25353530 30424236 38030295 40565648 43101001 50707060 60848472 76060590 86202002 101414120 121696944 129303003 152121180 172404004 202828240 215505005 258606006 304242360 344808008 431010010 517212012 608484720 646515015 689616016 862020020 1034424024 1293030030 1724040040 2068848048 2586060060 3448080080 5172120120 10344240240