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3481352 = 237283107
BaseRepresentation
bin1101010001111100001000
320112212111222
431101330020
51342400402
6202341212
741406500
oct15217410
96485458
103481352
111a68656
1211ba808
1394b794
14668a00
1548b7a2
hex351f08

3481352 has 48 divisors (see below), whose sum is σ = 7756560. Its totient is φ = 1460256.

The previous prime is 3481339. The next prime is 3481391. The reversal of 3481352 is 2531843.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32483 + ... + 32589.

It is an arithmetic number, because the mean of its divisors is an integer number (161595).

Almost surely, 23481352 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 3481352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3878280).

3481352 is an abundant number, since it is smaller than the sum of its proper divisors (4275208).

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

3481352 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (3481351) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (210).

3481352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 199 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 3481352 is about 1865.8381494653. The cubic root of 3481352 is about 151.5593191737.

The spelling of 3481352 in words is "three million, four hundred eighty-one thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 49 56 83 98 107 166 196 214 332 392 428 581 664 749 856 1162 1498 2324 2996 4067 4648 5243 5992 8134 8881 10486 16268 17762 20972 32536 35524 41944 62167 71048 124334 248668 435169 497336 870338 1740676 3481352