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146312684 = 22731592857
BaseRepresentation
bin10001011100010…
…00110111101100
3101012022110021022
420232020313230
5244424001214
622303553312
73424431410
oct1056106754
9335273238
10146312684
1175653981
1240bbb838
132440a76b
1415608d40
15cca1d8e
hex8b88dec

146312684 has 48 divisors (see below), whose sum is σ = 307292160. Its totient is φ = 59633280.

The previous prime is 146312681. The next prime is 146312717. The reversal of 146312684 is 486213641.

146312684 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (146312681) 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, 49784 + ... + 52640.

It is an arithmetic number, because the mean of its divisors is an integer number (6401920).

Almost surely, 2146312684 is an apocalyptic number.

146312684 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146312684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153646080).

146312684 is an abundant number, since it is smaller than the sum of its proper divisors (160979476).

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

146312684 is a wasteful number, since it uses less digits than its factorization.

146312684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2958 (or 2956 counting only the distinct ones).

The product of its digits is 27648, while the sum is 35.

The square root of 146312684 is about 12095.9780092393. The cubic root of 146312684 is about 526.9393835850.

The spelling of 146312684 in words is "one hundred forty-six million, three hundred twelve thousand, six hundred eighty-four".

Divisors: 1 2 4 7 14 28 31 59 62 118 124 217 236 413 434 826 868 1652 1829 2857 3658 5714 7316 11428 12803 19999 25606 39998 51212 79996 88567 168563 177134 337126 354268 619969 674252 1179941 1239938 2359882 2479876 4719764 5225453 10450906 20901812 36578171 73156342 146312684