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350241144 = 233114572903
BaseRepresentation
bin10100111000000…
…100000101111000
3220102001002112020
4110320010011320
51204130204034
654430514440
711452000131
oct2470040570
9812032466
10350241144
1116a77a3a0
1299365a20
135773bba6
1434730c88
1520b35249
hex14e04178

350241144 has 64 divisors (see below), whose sum is σ = 957623040. Its totient is φ = 105864960.

The previous prime is 350241139. The next prime is 350241161. The reversal of 350241144 is 441142053.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 119197 + ... + 122099.

It is an arithmetic number, because the mean of its divisors is an integer number (14962860).

Almost surely, 2350241144 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 350241144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478811520).

350241144 is an abundant number, since it is smaller than the sum of its proper divisors (607381896).

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

350241144 is a wasteful number, since it uses less digits than its factorization.

350241144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3380 (or 3376 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 350241144 is about 18714.7306686471. The cubic root of 350241144 is about 704.8916849842.

Adding to 350241144 its reverse (441142053), we get a palindrome (791383197).

Subtracting 350241144 from its reverse (441142053), we obtain a palindrome (90900909).

The spelling of 350241144 in words is "three hundred fifty million, two hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 457 914 1371 1828 2742 2903 3656 5027 5484 5806 8709 10054 10968 11612 15081 17418 20108 23224 30162 31933 34836 40216 60324 63866 69672 95799 120648 127732 191598 255464 383196 766392 1326671 2653342 3980013 5306684 7960026 10613368 14593381 15920052 29186762 31840104 43780143 58373524 87560286 116747048 175120572 350241144