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350242144 = 257101113137
BaseRepresentation
bin10100111000000…
…100010101100000
3220102001010220021
4110320010111200
51204130222034
654430523224
711452003060
oct2470042540
9812033807
10350242144
1116a78011a
1299366514
135773c495
14347313a0
1520b356b4
hex14e04560

350242144 has 96 divisors (see below), whose sum is σ = 808750656. Its totient is φ = 146227200.

The previous prime is 350242129. The next prime is 350242187. The reversal of 350242144 is 441242053.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2556444 + ... + 2556580.

It is an arithmetic number, because the mean of its divisors is an integer number (8424486).

Almost surely, 2350242144 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 350242144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404375328).

350242144 is an abundant number, since it is smaller than the sum of its proper divisors (458508512).

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

350242144 is a wasteful number, since it uses less digits than its factorization.

350242144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 350242144 is about 18714.7573855500. The cubic root of 350242144 is about 704.8923558467.

Adding to 350242144 its reverse (441242053), we get a palindrome (791484197).

Subtracting 350242144 from its reverse (441242053), we obtain a palindrome (90999909).

The spelling of 350242144 in words is "three hundred fifty million, two hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 101 112 113 137 202 224 226 274 404 452 548 707 791 808 904 959 1096 1414 1582 1616 1808 1918 2192 2828 3164 3232 3616 3836 4384 5656 6328 7672 11312 11413 12656 13837 15344 15481 22624 22826 25312 27674 30688 30962 45652 55348 61924 79891 91304 96859 108367 110696 123848 159782 182608 193718 216734 221392 247696 319564 365216 387436 433468 442784 495392 639128 774872 866936 1278256 1549744 1563581 1733872 2556512 3099488 3127162 3467744 6254324 10945067 12508648 21890134 25017296 43780268 50034592 87560536 175121072 350242144