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348200944 = 24713379631
BaseRepresentation
bin10100110000010…
…001111111110000
3220021012102220021
4110300101333300
51203114412234
654315053224
711425442050
oct2460217760
9807172807
10348200944
11169606583
1298741214
13571a6380
143435d560
15208809b4
hex14c11ff0

348200944 has 80 divisors (see below), whose sum is σ = 833835520. Its totient is φ = 137168640.

The previous prime is 348200929. The next prime is 348200947. The reversal of 348200944 is 449002843.

It is a super-2 number, since 2×3482009442 = 242487794804982272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348200947) 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, 551509 + ... + 552139.

It is an arithmetic number, because the mean of its divisors is an integer number (10422944).

Almost surely, 2348200944 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 348200944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416917760).

348200944 is an abundant number, since it is smaller than the sum of its proper divisors (485634576).

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

348200944 is a wasteful number, since it uses less digits than its factorization.

348200944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 348200944 is about 18660.1431934484. The cubic root of 348200944 is about 703.5203236387.

The spelling of 348200944 in words is "three hundred forty-eight million, two hundred thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 379 631 728 758 1262 1456 1516 2524 2653 3032 4417 4927 5048 5306 6064 8203 8834 9854 10096 10612 16406 17668 19708 21224 32812 34489 35336 39416 42448 57421 65624 68978 70672 78832 114842 131248 137956 229684 239149 275912 459368 478298 551824 918736 956596 1674043 1913192 3108937 3348086 3826384 6217874 6696172 12435748 13392344 21762559 24871496 26784688 43525118 49742992 87050236 174100472 348200944