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353253240 = 233257912421
BaseRepresentation
bin10101000011100…
…011011101111000
3220121201010100100
4111003203131320
51210413100430
655015235400
711516413554
oct2503433570
9817633310
10353253240
1117144742a
129a378b60
1358254bb2
1434cb6864
152102c960
hex150e3778

353253240 has 96 divisors (see below), whose sum is σ = 1162699200. Its totient is φ = 93000960.

The previous prime is 353253239. The next prime is 353253247. The reversal of 353253240 is 42352353.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353253247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22230 + ... + 34650.

It is an arithmetic number, because the mean of its divisors is an integer number (12111450).

Almost surely, 2353253240 is an apocalyptic number.

353253240 is a gapful number since it is divisible by the number (30) 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 353253240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581349600).

353253240 is an abundant number, since it is smaller than the sum of its proper divisors (809445960).

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

353253240 is a wasteful number, since it uses less digits than its factorization.

353253240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12517 (or 12510 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The square root of 353253240 is about 18795.0323223984. The cubic root of 353253240 is about 706.9066241390.

The spelling of 353253240 in words is "three hundred fifty-three million, two hundred fifty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 79 90 120 158 180 237 316 360 395 474 632 711 790 948 1185 1422 1580 1896 2370 2844 3160 3555 4740 5688 7110 9480 12421 14220 24842 28440 37263 49684 62105 74526 99368 111789 124210 149052 186315 223578 248420 298104 372630 447156 496840 558945 745260 894312 981259 1117890 1490520 1962518 2235780 2943777 3925036 4471560 4906295 5887554 7850072 8831331 9812590 11775108 14718885 17662662 19625180 23550216 29437770 35325324 39250360 44156655 58875540 70650648 88313310 117751080 176626620 353253240