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145519344 = 24322353829
BaseRepresentation
bin10001010110001…
…11001011110000
3101010211011000100
420223013023300
5244223104334
622234552400
73414615435
oct1053071360
9333734010
10145519344
1175161923
1240898700
13241c0629
141547db8c
15cb96c99
hex8ac72f0

145519344 has 120 divisors (see below), whose sum is σ = 433499040. Its totient is φ = 45467136.

The previous prime is 145519331. The next prime is 145519349. The reversal of 145519344 is 443915541.

It is a happy number.

145519344 is a `hidden beast` number, since 14 + 551 + 93 + 4 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 145519299 and 145519308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145519349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175122 + ... + 175950.

It is an arithmetic number, because the mean of its divisors is an integer number (3612492).

Almost surely, 2145519344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145519344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216749520).

145519344 is an abundant number, since it is smaller than the sum of its proper divisors (287979696).

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

145519344 is a wasteful number, since it uses less digits than its factorization.

145519344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 910 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 145519344 is about 12063.1398897634. The cubic root of 145519344 is about 525.9852627349.

The spelling of 145519344 in words is "one hundred forty-five million, five hundred nineteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 53 69 72 92 106 138 144 159 184 207 212 276 318 368 414 424 477 552 636 828 829 848 954 1104 1219 1272 1656 1658 1908 2438 2487 2544 3312 3316 3657 3816 4876 4974 6632 7314 7461 7632 9752 9948 10971 13264 14628 14922 19067 19504 19896 21942 29256 29844 38134 39792 43884 43937 57201 58512 59688 76268 87768 87874 114402 119376 131811 152536 171603 175536 175748 228804 263622 305072 343206 351496 395433 457608 527244 686412 702992 790866 915216 1010551 1054488 1372824 1581732 2021102 2108976 2745648 3031653 3163464 4042204 6063306 6326928 8084408 9094959 12126612 16168816 18189918 24253224 36379836 48506448 72759672 145519344