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348290472 = 233233717053
BaseRepresentation
bin10100110000100…
…111110110101000
3220021100222201010
4110300213312220
51203130243342
654321023520
711426264055
oct2460476650
9807328633
10348290472
11169667872
1298784ba0
135720804a
143438402c
152089c29c
hex14c27da8

348290472 has 64 divisors (see below), whose sum is σ = 933194880. Its totient is φ = 108041472.

The previous prime is 348290443. The next prime is 348290473. The reversal of 348290472 is 274092843.

It is a self number, because there is not a number n which added to its sum of digits gives 348290472.

It is not an unprimeable number, because it can be changed into a prime (348290473) 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, 11898 + ... + 28950.

It is an arithmetic number, because the mean of its divisors is an integer number (14581170).

Almost surely, 2348290472 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 348290472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466597440).

348290472 is an abundant number, since it is smaller than the sum of its proper divisors (584904408).

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

348290472 is a wasteful number, since it uses less digits than its factorization.

348290472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17122 (or 17118 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 348290472 is about 18662.5419490486. The cubic root of 348290472 is about 703.5806138928.

The spelling of 348290472 in words is "three hundred forty-eight million, two hundred ninety thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 23 24 37 46 69 74 92 111 138 148 184 222 276 296 444 552 851 888 1702 2553 3404 5106 6808 10212 17053 20424 34106 51159 68212 102318 136424 204636 392219 409272 630961 784438 1176657 1261922 1568876 1892883 2353314 2523844 3137752 3785766 4706628 5047688 7571532 9413256 14512103 15143064 29024206 43536309 58048412 87072618 116096824 174145236 348290472