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350227248 = 24374125423
BaseRepresentation
bin10100111000000…
…000101100110000
3220102000101110120
4110320000230300
51204124232443
654430330240
711451611460
oct2470005460
9812011416
10350227248
1116a76aa08
1299359980
1357735777
1434729ba0
1520b31083
hex14e00b30

350227248 has 80 divisors (see below), whose sum is σ = 1059265536. Its totient is φ = 97620480.

The previous prime is 350227219. The next prime is 350227249. The reversal of 350227248 is 842722053.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (350227249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1065 + ... + 26487.

Almost surely, 2350227248 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 350227248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529632768).

350227248 is an abundant number, since it is smaller than the sum of its proper divisors (709038288).

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

350227248 is a wasteful number, since it uses less digits than its factorization.

350227248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25482 (or 25476 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 350227248 is about 18714.3594066161. The cubic root of 350227248 is about 704.8823625458.

The spelling of 350227248 in words is "three hundred fifty million, two hundred twenty-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 112 123 164 168 246 287 328 336 492 574 656 861 984 1148 1722 1968 2296 3444 4592 6888 13776 25423 50846 76269 101692 152538 177961 203384 305076 355922 406768 533883 610152 711844 1042343 1067766 1220304 1423688 2084686 2135532 2847376 3127029 4169372 4271064 6254058 7296401 8338744 8542128 12508116 14592802 16677488 21889203 25016232 29185604 43778406 50032464 58371208 87556812 116742416 175113624 350227248