Search a number
-
+
350866432 = 2107311579
BaseRepresentation
bin10100111010011…
…100110000000000
3220110012212021001
4110322130300000
51204310211212
654452141344
711460213130
oct2472346000
9813185231
10350866432
11170067164
1299607854
13578ca697
1434854ac0
1520c0a657
hex14e9cc00

350866432 has 88 divisors (see below), whose sum is σ = 827970560. Its totient is φ = 145428480.

The previous prime is 350866429. The next prime is 350866457. The reversal of 350866432 is 234668053.

350866432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 350866391 and 350866400.

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 7 ways as a sum of consecutive naturals, for example, 221419 + ... + 222997.

Almost surely, 2350866432 is an apocalyptic number.

350866432 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 350866432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413985280).

350866432 is an abundant number, since it is smaller than the sum of its proper divisors (477104128).

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

350866432 is a wasteful number, since it uses less digits than its factorization.

350866432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The square root of 350866432 is about 18731.4289898021. The cubic root of 350866432 is about 705.3109183056.

The spelling of 350866432 in words is "three hundred fifty million, eight hundred sixty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 256 434 448 496 512 868 896 992 1024 1579 1736 1792 1984 3158 3472 3584 3968 6316 6944 7168 7936 11053 12632 13888 15872 22106 25264 27776 31744 44212 48949 50528 55552 88424 97898 101056 111104 176848 195796 202112 222208 342643 353696 391592 404224 685286 707392 783184 808448 1370572 1414784 1566368 1616896 2741144 2829568 3132736 5482288 5659136 6265472 10964576 11318272 12530944 21929152 25061888 43858304 50123776 87716608 175433216 350866432