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3345800352 = 25371948473
BaseRepresentation
bin1100011101101100…
…1101110010100000
322122011201021020120
43013123031302200
523323011102402
61312000040240
7145624555656
oct30733156240
98564637216
103345800352
111467687364
12794603080
1341422a02b
1423a4dcdd6
15148aed3bc
hexc76cdca0

3345800352 has 48 divisors (see below), whose sum is σ = 8795122560. Its totient is φ = 1113692672.

The previous prime is 3345800351. The next prime is 3345800387. The reversal of 3345800352 is 2530085433.

3345800352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×33458003522 = 22388759990886647808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3345800351) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44788 + ... + 93260.

It is an arithmetic number, because the mean of its divisors is an integer number (183231720).

Almost surely, 23345800352 is an apocalyptic number.

3345800352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3345800352 is an abundant number, since it is smaller than the sum of its proper divisors (5449322208).

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

3345800352 is a wasteful number, since it uses less digits than its factorization.

3345800352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49205 (or 49197 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 3345800352 is about 57842.8937035484. The cubic root of 3345800352 is about 1495.6615904546.

Adding to 3345800352 its reverse (2530085433), we get a palindrome (5875885785).

The spelling of 3345800352 in words is "three billion, three hundred forty-five million, eight hundred thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 719 1438 2157 2876 4314 5752 8628 11504 17256 23008 34512 48473 69024 96946 145419 193892 290838 387784 581676 775568 1163352 1551136 2326704 4653408 34852087 69704174 104556261 139408348 209112522 278816696 418225044 557633392 836450088 1115266784 1672900176 3345800352