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348564468 = 22374798663
BaseRepresentation
bin10100110001101…
…010101111110100
3220021212220120010
4110301222233310
51203213030333
654330540220
711431514640
oct2461525764
9807786503
10348564468
1116983470a
1298897670
13572a2985
1434415c20
1520903563
hex14c6abf4

348564468 has 48 divisors (see below), whose sum is σ = 931553280. Its totient is φ = 99370464.

The previous prime is 348564467. The next prime is 348564487. The reversal of 348564468 is 864465843.

It is a super-3 number, since 3×3485644683 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348564467) 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, 35905 + ... + 44567.

It is an arithmetic number, because the mean of its divisors is an integer number (19407360).

Almost surely, 2348564468 is an apocalyptic number.

It is an amenable number.

348564468 is an abundant number, since it is smaller than the sum of its proper divisors (582988812).

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

348564468 is a wasteful number, since it uses less digits than its factorization.

348564468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9156 (or 9154 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 48.

The square root of 348564468 is about 18669.8813065322. The cubic root of 348564468 is about 703.7650650519.

The spelling of 348564468 in words is "three hundred forty-eight million, five hundred sixty-four thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 479 958 1437 1916 2874 3353 5748 6706 8663 10059 13412 17326 20118 25989 34652 40236 51978 60641 103956 121282 181923 242564 363846 727692 4149577 8299154 12448731 16598308 24897462 29047039 49794924 58094078 87141117 116188156 174282234 348564468