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348052664 = 232943139251
BaseRepresentation
bin10100101111101…
…101110010111000
3220020220220111102
4110233231302320
51203100141124
654311550532
711424253541
oct2457556270
9806826442
10348052664
11169515133
129868b448
1357153a2b
14343214c8
1520851aae
hex14bedcb8

348052664 has 64 divisors (see below), whose sum is σ = 698544000. Its totient is φ = 162288000.

The previous prime is 348052657. The next prime is 348052669. The reversal of 348052664 is 466250843.

It is a super-2 number, since 2×3480526642 = 242281313834993792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348052669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1386539 + ... + 1386789.

It is an arithmetic number, because the mean of its divisors is an integer number (10914750).

Almost surely, 2348052664 is an apocalyptic number.

It is an amenable number.

348052664 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

348052664 is a wasteful number, since it uses less digits than its factorization.

348052664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The square root of 348052664 is about 18656.1695961416. The cubic root of 348052664 is about 703.4204456739.

The spelling of 348052664 in words is "three hundred forty-eight million, fifty-two thousand, six hundred sixty-four".

Divisors: 1 2 4 8 29 43 58 86 116 139 172 232 251 278 344 502 556 1004 1112 1247 2008 2494 4031 4988 5977 7279 8062 9976 10793 11954 14558 16124 21586 23908 29116 32248 34889 43172 47816 58232 69778 86344 139556 173333 279112 312997 346666 625994 693332 1011781 1251988 1386664 1500227 2023562 2503976 3000454 4047124 6000908 8094248 12001816 43506583 87013166 174026332 348052664