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16348680 = 2332545413
BaseRepresentation
bin111110010111…
…011000001000
31010202121011200
4332113120020
513141124210
61342224200
7255650535
oct76273010
933677150
1016348680
119257007
125585060
13350549a
142257d8c
15167e0c0
hexf97608

16348680 has 48 divisors (see below), whose sum is σ = 53134380. Its totient is φ = 4359552.

The previous prime is 16348667. The next prime is 16348681. The reversal of 16348680 is 8684361.

It is a happy number.

16348680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 13704804 + 2643876 = 3702^2 + 1626^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (16348681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22347 + ... + 23066.

Almost surely, 216348680 is an apocalyptic number.

16348680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16348680 is an abundant number, since it is smaller than the sum of its proper divisors (36785700).

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

16348680 is a wasteful number, since it uses less digits than its factorization.

16348680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45430 (or 45423 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 16348680 is about 4043.3500961455. The cubic root of 16348680 is about 253.8015272260.

The spelling of 16348680 in words is "sixteen million, three hundred forty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 45413 90826 136239 181652 227065 272478 363304 408717 454130 544956 681195 817434 908260 1089912 1362390 1634868 1816520 2043585 2724780 3269736 4087170 5449560 8174340 16348680