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353352340 = 225114633469
BaseRepresentation
bin10101000011111…
…011101010010100
3220121220011021201
4111003323222110
51210424233330
655021322244
711520305515
oct2503735224
9817804251
10353352340
11171504930
129a406384
135828b033
1434d00a0c
152104beca
hex150fba94

353352340 has 48 divisors (see below), whose sum is σ = 811480320. Its totient is φ = 128177280.

The previous prime is 353352319. The next prime is 353352343. The reversal of 353352340 is 43253353.

It is a junction number, because it is equal to n+sod(n) for n = 353352299 and 353352308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353352343) 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, 100126 + ... + 103594.

It is an arithmetic number, because the mean of its divisors is an integer number (16905840).

Almost surely, 2353352340 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 353352340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405740160).

353352340 is an abundant number, since it is smaller than the sum of its proper divisors (458127980).

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

353352340 is a wasteful number, since it uses less digits than its factorization.

353352340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3952 (or 3950 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 28.

The square root of 353352340 is about 18797.6684724463. The cubic root of 353352340 is about 706.9727220433.

It can be divided in two parts, 35335 and 2340, that added together give a triangular number (37675 = T274).

The spelling of 353352340 in words is "three hundred fifty-three million, three hundred fifty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 463 926 1852 2315 3469 4630 5093 6938 9260 10186 13876 17345 20372 25465 34690 38159 50930 69380 76318 101860 152636 190795 381590 763180 1606147 3212294 6424588 8030735 16061470 17667617 32122940 35335234 70670468 88338085 176676170 353352340