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1343914416 = 2436138863
BaseRepresentation
bin101000000011010…
…1000000110110000
310110122210221000000
41100012220012300
510223020230131
6341204430000
745206040555
oct12006500660
93418727000
101343914416
1162a671879
123160a8300
13185572440
14ca6b2a2c
157ceb6ce6
hex501a81b0

1343914416 has 140 divisors (see below), whose sum is σ = 4204744768. Its totient is φ = 413465472.

The previous prime is 1343914399. The next prime is 1343914417. The reversal of 1343914416 is 6144193431.

It is a super-2 number, since 2×13439144162 = 3612211915065242112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1343914417) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 147201 + ... + 156063.

Almost surely, 21343914416 is an apocalyptic number.

1343914416 is a gapful number since it is divisible by the number (16) 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 1343914416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2102372384).

1343914416 is an abundant number, since it is smaller than the sum of its proper divisors (2860830352).

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

1343914416 is an equidigital number, since it uses as much as digits as its factorization.

1343914416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8902 (or 8881 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 1343914416 is about 36659.4382935691. The cubic root of 1343914416 is about 1103.5462454752.

The spelling of 1343914416 in words is "one billion, three hundred forty-three million, nine hundred fourteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 243 312 324 351 432 468 486 624 648 702 729 936 972 1053 1296 1404 1458 1872 1944 2106 2808 2916 3159 3888 4212 5616 5832 6318 8424 8863 9477 11664 12636 16848 17726 18954 25272 26589 35452 37908 50544 53178 70904 75816 79767 106356 115219 141808 151632 159534 212712 230438 239301 319068 345657 425424 460876 478602 638136 691314 717903 921752 957204 1036971 1276272 1382628 1435806 1843504 1914408 2073942 2153709 2765256 2871612 3110913 3828816 4147884 4307418 5530512 5743224 6221826 6461127 8295768 8614836 9332739 11486448 12443652 12922254 16591536 17229672 18665478 24887304 25844508 27998217 34459344 37330956 49774608 51689016 55996434 74661912 83994651 103378032 111992868 149323824 167989302 223985736 335978604 447971472 671957208 1343914416