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144321345 = 355771239
BaseRepresentation
bin10001001101000…
…10101101000001
3101001120021200000
420212202231001
5243421240340
622153150213
73401465640
oct1046425501
9331507600
10144321345
1174513843
12403bb369
1323b9125c
141524b357
15ca0bd30
hex89a2b41

144321345 has 96 divisors (see below), whose sum is σ = 301916160. Its totient is φ = 64774080.

The previous prime is 144321329. The next prime is 144321377. The reversal of 144321345 is 543123441.

It is a happy number.

144321345 is a `hidden beast` number, since 1 + 443 + 213 + 4 + 5 = 666.

It is not a de Polignac number, because 144321345 - 24 = 144321329 is a prime.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 603736 + ... + 603974.

It is an arithmetic number, because the mean of its divisors is an integer number (3144960).

Almost surely, 2144321345 is an apocalyptic number.

144321345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144321345 is an abundant number, since it is smaller than the sum of its proper divisors (157594815).

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

144321345 is an equidigital number, since it uses as much as digits as its factorization.

144321345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 325 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 144321345 is about 12013.3819135163. The cubic root of 144321345 is about 524.5378790608.

Adding to 144321345 its reverse (543123441), we get a palindrome (687444786).

It can be divided in two parts, 144 and 321345, that added together give a square (321489 = 5672).

The spelling of 144321345 in words is "one hundred forty-four million, three hundred twenty-one thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 71 81 105 135 189 213 239 243 315 355 405 497 567 639 717 945 1065 1195 1215 1491 1673 1701 1917 2151 2485 2835 3195 3585 4473 5019 5751 6453 7455 8365 8505 9585 10755 13419 15057 16969 17253 19359 22365 25095 28755 32265 40257 45171 50907 58077 67095 75285 84845 86265 96795 118783 120771 135513 152721 201285 225855 254535 290385 356349 406539 458163 593915 603855 677565 763605 1069047 1374489 1781745 2032695 2290815 3207141 4123467 5345235 6872445 9621423 16035705 20617335 28864269 48107115 144321345