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34382260 = 225111311193
BaseRepresentation
bin1000001100101…
…0000110110100
32101200210121001
42003022012310
532300213020
63224533044
7565146553
oct203120664
971623531
1034382260
11184539a0
12b621184
13717a843
1447cdd9a
15304250a
hex20ca1b4

34382260 has 48 divisors (see below), whose sum is σ = 79434432. Its totient is φ = 12396800.

The previous prime is 34382251. The next prime is 34382269. The reversal of 34382260 is 6228343.

It is an interprime number because it is at equal distance from previous prime (34382251) and next prime (34382269).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34382269) 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, 28224 + ... + 29416.

It is an arithmetic number, because the mean of its divisors is an integer number (1654884).

Almost surely, 234382260 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 34382260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39717216).

34382260 is an abundant number, since it is smaller than the sum of its proper divisors (45052172).

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

34382260 is a wasteful number, since it uses less digits than its factorization.

34382260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 34382260 is about 5863.6388019727. The cubic root of 34382260 is about 325.1707505110.

The spelling of 34382260 in words is "thirty-four million, three hundred eighty-two thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 131 220 262 524 655 1193 1310 1441 2386 2620 2882 4772 5764 5965 7205 11930 13123 14410 23860 26246 28820 52492 65615 131230 156283 262460 312566 625132 781415 1562830 1719113 3125660 3438226 6876452 8595565 17191130 34382260