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352489340 = 225722511433
BaseRepresentation
bin10101000000101…
…000111101111100
3220120021022110202
4111000220331330
51210214124330
654551023032
711510052500
oct2500507574
9816238422
10352489340
11170a75505
129a06aa78
1358048298
1434b58300
1520e2b445
hex15028f7c

352489340 has 72 divisors (see below), whose sum is σ = 865114992. Its totient is φ = 120288000.

The previous prime is 352489327. The next prime is 352489363. The reversal of 352489340 is 43984253.

It is a junction number, because it is equal to n+sod(n) for n = 352489294 and 352489303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245264 + ... + 246696.

It is an arithmetic number, because the mean of its divisors is an integer number (12015486).

Almost surely, 2352489340 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 352489340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432557496).

352489340 is an abundant number, since it is smaller than the sum of its proper divisors (512625652).

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

352489340 is a wasteful number, since it uses less digits than its factorization.

352489340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1707 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The square root of 352489340 is about 18774.6994649715. The cubic root of 352489340 is about 706.3967012976.

The spelling of 352489340 in words is "three hundred fifty-two million, four hundred eighty-nine thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 251 490 502 980 1004 1255 1433 1757 2510 2866 3514 5020 5732 7028 7165 8785 10031 12299 14330 17570 20062 24598 28660 35140 40124 49196 50155 61495 70217 100310 122990 140434 200620 245980 280868 351085 359683 702170 719366 1404340 1438732 1798415 2517781 3596830 5035562 7193660 10071124 12588905 17624467 25177810 35248934 50355620 70497868 88122335 176244670 352489340