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352353330 = 232572324317
BaseRepresentation
bin10101000000000…
…111110000110010
3220120000101220100
4111000013300302
51210200301310
654544053230
711505645120
oct2500076062
9816011810
10352353330
111709922aa
129a004216
1357ccb3c4
1434b20910
1520e00ec0
hex15007c32

352353330 has 96 divisors (see below), whose sum is σ = 1092559104. Its totient is φ = 77033088.

The previous prime is 352353319. The next prime is 352353349. The reversal of 352353330 is 33353253.

It is a junction number, because it is equal to n+sod(n) for n = 352353294 and 352353303.

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 47 ways as a sum of consecutive naturals, for example, 2332 + ... + 26648.

It is an arithmetic number, because the mean of its divisors is an integer number (11380824).

Almost surely, 2352353330 is an apocalyptic number.

352353330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 352353330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546279552).

352353330 is an abundant number, since it is smaller than the sum of its proper divisors (740205774).

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

352353330 is a wasteful number, since it uses less digits than its factorization.

352353330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24360 (or 24357 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 27.

The square root of 352353330 is about 18771.0769536540. The cubic root of 352353330 is about 706.3058338921.

It can be divided in two parts, 35 and 2353330, that added together give a triangular number (2353365 = T2169).

The spelling of 352353330 in words is "three hundred fifty-two million, three hundred fifty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 23 30 35 42 45 46 63 69 70 90 105 115 126 138 161 207 210 230 315 322 345 414 483 630 690 805 966 1035 1449 1610 2070 2415 2898 4830 7245 14490 24317 48634 72951 121585 145902 170219 218853 243170 340438 364755 437706 510657 559291 729510 851095 1021314 1094265 1118582 1531971 1677873 1702190 2188530 2553285 2796455 3063942 3355746 3915037 5033619 5106570 5592910 7659855 7830074 8389365 10067238 11745111 15319710 16778730 19575185 23490222 25168095 35235333 39150370 50336190 58725555 70470666 117451110 176176665 352353330