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350340352 = 2817791019
BaseRepresentation
bin10100111000011…
…100010100000000
3220102020010121121
4110320130110000
51204141342402
654433002024
711452562305
oct2470342400
9812203547
10350340352
1116a83798a
12993b3314
13577750ab
14347590ac
1520b54837
hex14e1c500

350340352 has 72 divisors (see below), whose sum is σ = 750556800. Its totient is φ = 162619392.

The previous prime is 350340349. The next prime is 350340371. The reversal of 350340352 is 253043053.

It is a happy number.

350340352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 343299 + ... + 344317.

It is an arithmetic number, because the mean of its divisors is an integer number (10424400).

Almost surely, 2350340352 is an apocalyptic number.

350340352 is a gapful number since it is divisible by the number (32) 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 350340352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375278400).

350340352 is an abundant number, since it is smaller than the sum of its proper divisors (400216448).

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

350340352 is a wasteful number, since it uses less digits than its factorization.

350340352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 25.

The square root of 350340352 is about 18717.3810133790. The cubic root of 350340352 is about 704.9582336976.

The spelling of 350340352 in words is "three hundred fifty million, three hundred forty thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 79 128 136 158 256 272 316 544 632 1019 1088 1264 1343 2038 2176 2528 2686 4076 4352 5056 5372 8152 10112 10744 16304 17323 20224 21488 32608 34646 42976 65216 69292 80501 85952 130432 138584 161002 171904 260864 277168 322004 343808 554336 644008 1108672 1288016 1368517 2217344 2576032 2737034 4434688 5152064 5474068 10304128 10948136 20608256 21896272 43792544 87585088 175170176 350340352