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1342657368 = 2332133146273
BaseRepresentation
bin101000000000111…
…0101001101011000
310110120110001122200
41100001311031120
510222210013433
6341121450200
745162253653
oct12001651530
93416401580
101342657368
11629993398
123157a0960
13185222220
14ca46689a
157cd19613
hex50075358

1342657368 has 96 divisors (see below), whose sum is σ = 4042496640. Its totient is φ = 399790080.

The previous prime is 1342657367. The next prime is 1342657387. The reversal of 1342657368 is 8637562431.

1342657368 is a `hidden beast` number, since 13 + 4 + 2 + 6 + 573 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1342657367) 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, 5880 + ... + 52152.

It is an arithmetic number, because the mean of its divisors is an integer number (42109340).

Almost surely, 21342657368 is an apocalyptic number.

1342657368 is a gapful number since it is divisible by the number (18) 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 1342657368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2021248320).

1342657368 is an abundant number, since it is smaller than the sum of its proper divisors (2699839272).

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

1342657368 is a wasteful number, since it uses less digits than its factorization.

1342657368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46329 (or 46322 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 1342657368 is about 36642.2893389592. The cubic root of 1342657368 is about 1103.2020659837.

The spelling of 1342657368 in words is "one billion, three hundred forty-two million, six hundred fifty-seven thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 31 36 39 52 62 72 78 93 104 117 124 156 186 234 248 279 312 372 403 468 558 744 806 936 1116 1209 1612 2232 2418 3224 3627 4836 7254 9672 14508 29016 46273 92546 138819 185092 277638 370184 416457 555276 601549 832914 1110552 1203098 1434463 1665828 1804647 2406196 2868926 3331656 3609294 4303389 4812392 5413941 5737852 7218588 8606778 10827882 11475704 12910167 14437176 17213556 18648019 21655764 25820334 34427112 37296038 43311528 51640668 55944057 74592076 103281336 111888114 149184152 167832171 223776228 335664342 447552456 671328684 1342657368