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352231424 = 213193173
BaseRepresentation
bin10100111111101…
…010000000000000
3220112210012200022
4110333222000000
51210132401144
654541313012
711504626526
oct2477520000
9815705608
10352231424
11170909756
1299b65768
1357c87a7c
1434acc316
1520dc9cee
hex14fea000

352231424 has 112 divisors (see below), whose sum is σ = 775898880. Its totient is φ = 159252480.

The previous prime is 352231409. The next prime is 352231433. The reversal of 352231424 is 424132253.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 352231393 and 352231402.

It is a congruent number.

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, 4825052 + ... + 4825124.

Almost surely, 2352231424 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 352231424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387949440).

352231424 is an abundant number, since it is smaller than the sum of its proper divisors (423667456).

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

352231424 is an equidigital number, since it uses as much as digits as its factorization.

352231424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 125 counting only the distinct ones).

The product of its digits is 5760, while the sum is 26.

The square root of 352231424 is about 18767.8294962417. The cubic root of 352231424 is about 706.2243694043.

Adding to 352231424 its reverse (424132253), we get a palindrome (776363677).

The spelling of 352231424 in words is "three hundred fifty-two million, two hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 19 31 32 38 62 64 73 76 124 128 146 152 248 256 292 304 496 512 584 589 608 992 1024 1168 1178 1216 1387 1984 2048 2263 2336 2356 2432 2774 3968 4096 4526 4672 4712 4864 5548 7936 8192 9052 9344 9424 9728 11096 15872 18104 18688 18848 19456 22192 31744 36208 37376 37696 38912 42997 44384 63488 72416 74752 75392 77824 85994 88768 126976 144832 149504 150784 155648 171988 177536 253952 289664 299008 301568 343976 355072 579328 598016 603136 687952 710144 1158656 1206272 1375904 1420288 2317312 2412544 2751808 2840576 4634624 4825088 5503616 5681152 9269248 11007232 11362304 18538496 22014464 44028928 88057856 176115712 352231424