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146376816 = 2434370919
BaseRepresentation
bin10001011100110…
…00100001110000
3101012102201020120
420232120201300
5244433024231
622305210240
73425116365
oct1056304160
9335381216
10146376816
1175698083
1241030980
1324430a01
141562446c
15ccb5d96
hex8b98870

146376816 has 40 divisors (see below), whose sum is σ = 386939520. Its totient is φ = 47656896.

The previous prime is 146376799. The next prime is 146376829. The reversal of 146376816 is 618673641.

It is a congruent number.

It is an unprimeable number.

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, 33396 + ... + 37523.

It is an arithmetic number, because the mean of its divisors is an integer number (9673488).

Almost surely, 2146376816 is an apocalyptic number.

146376816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

146376816 is an abundant number, since it is smaller than the sum of its proper divisors (240562704).

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

146376816 is a wasteful number, since it uses less digits than its factorization.

146376816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70973 (or 70967 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 146376816 is about 12098.6286826235. The cubic root of 146376816 is about 527.0163619652.

The spelling of 146376816 in words is "one hundred forty-six million, three hundred seventy-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 688 1032 2064 70919 141838 212757 283676 425514 567352 851028 1134704 1702056 3049517 3404112 6099034 9148551 12198068 18297102 24396136 36594204 48792272 73188408 146376816