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1344012340 = 2251122572161
BaseRepresentation
bin101000000011100…
…0000000000110100
310110122222220022211
41100013000000310
510223031343330
6341210503204
745206626216
oct12007000064
93418886284
101344012340
1162a729400
12316134b04
131855a7b98
14ca6da5b6
157ced5d2a
hex501c0034

1344012340 has 72 divisors (see below), whose sum is σ = 3115848456. Its totient is φ = 486604800.

The previous prime is 1344012331. The next prime is 1344012379. The reversal of 1344012340 is 432104431.

It can be written as a sum of positive squares in 4 ways, for example, as 579268624 + 764743716 = 24068^2 + 27654^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 620860 + ... + 623020.

It is an arithmetic number, because the mean of its divisors is an integer number (43275673).

Almost surely, 21344012340 is an apocalyptic number.

1344012340 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 1344012340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557924228).

1344012340 is an abundant number, since it is smaller than the sum of its proper divisors (1771836116).

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

1344012340 is a wasteful number, since it uses less digits than its factorization.

1344012340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2449 (or 2436 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 1344012340 is about 36660.7738598083. The cubic root of 1344012340 is about 1103.5730480346.

Adding to 1344012340 its reverse (432104431), we get a palindrome (1776116771).

The spelling of 1344012340 in words is "one billion, three hundred forty-four million, twelve thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 257 484 514 605 1028 1210 1285 2161 2420 2570 2827 4322 5140 5654 8644 10805 11308 14135 21610 23771 28270 31097 43220 47542 56540 62194 95084 118855 124388 155485 237710 261481 310970 475420 522962 555377 621940 1045924 1110754 1307405 2221508 2614810 2776885 5229620 5553770 6109147 11107540 12218294 24436588 30545735 61091470 67200617 122182940 134401234 268802468 336003085 672006170 1344012340