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350809344 = 28321071423
BaseRepresentation
bin10100111010001…
…110110100000000
3220110002221221200
4110322032310000
51204301344334
654451021200
711456554524
oct2472166400
9813087850
10350809344
11170028286
129959a800
13578aa6c2
143483bd84
1520be8799
hex14e8ed00

350809344 has 108 divisors (see below), whose sum is σ = 1021640256. Its totient is φ = 115762176.

The previous prime is 350809337. The next prime is 350809379. The reversal of 350809344 is 443908053.

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 = 350809299 and 350809308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 245817 + ... + 247239.

It is an arithmetic number, because the mean of its divisors is an integer number (9459632).

Almost surely, 2350809344 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 350809344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510820128).

350809344 is an abundant number, since it is smaller than the sum of its proper divisors (670830912).

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

350809344 is a wasteful number, since it uses less digits than its factorization.

350809344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 350809344 is about 18729.9050718363. The cubic root of 350809344 is about 705.2726635074.

It can be divided in two parts, 350809 and 344, that added together give a palindrome (351153).

The spelling of 350809344 in words is "three hundred fifty million, eight hundred nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 107 128 144 192 214 256 288 321 384 428 576 642 768 856 963 1152 1284 1423 1712 1926 2304 2568 2846 3424 3852 4269 5136 5692 6848 7704 8538 10272 11384 12807 13696 15408 17076 20544 22768 25614 27392 30816 34152 41088 45536 51228 61632 68304 82176 91072 102456 123264 136608 152261 182144 204912 246528 273216 304522 364288 409824 456783 546432 609044 819648 913566 1092864 1218088 1370349 1639296 1827132 2436176 2740698 3278592 3654264 4872352 5481396 7308528 9744704 10962792 14617056 19489408 21925584 29234112 38978816 43851168 58468224 87702336 116936448 175404672 350809344