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168414312 = 23311637933
BaseRepresentation
bin10100000100111…
…00110001101000
3102201220100000010
422002130301220
5321103224222
624413411520
74113332553
oct1202346150
9381810003
10168414312
118707a190
1248499ba0
1328b78651
141851d69a
15ebba80c
hexa09cc68

168414312 has 32 divisors (see below), whose sum is σ = 459312480. Its totient is φ = 51034560.

The previous prime is 168414307. The next prime is 168414313. The reversal of 168414312 is 213414861.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 168414312.

It is not an unprimeable number, because it can be changed into a prime (168414313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 318703 + ... + 319230.

It is an arithmetic number, because the mean of its divisors is an integer number (14353515).

Almost surely, 2168414312 is an apocalyptic number.

168414312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

168414312 is an abundant number, since it is smaller than the sum of its proper divisors (290898168).

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

168414312 is a wasteful number, since it uses less digits than its factorization.

168414312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637953 (or 637949 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 168414312 is about 12977.4539875894. The cubic root of 168414312 is about 552.2380563209.

The spelling of 168414312 in words is "one hundred sixty-eight million, four hundred fourteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 637933 1275866 1913799 2551732 3827598 5103464 7017263 7655196 14034526 15310392 21051789 28069052 42103578 56138104 84207156 168414312