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146344380 = 22357313547
BaseRepresentation
bin10001011100100…
…00100110111100
3101012101001202020
420232100212330
5244431010010
622304400140
73424623000
oct1056204674
9335331666
10146344380
1175675776
1241016050
132441c010
1415616700
15ccab470
hex8b909bc

146344380 has 192 divisors, whose sum is σ = 515558400. Its totient is φ = 30820608.

The previous prime is 146344349. The next prime is 146344399. The reversal of 146344380 is 83443641.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 267267 + ... + 267813.

It is an arithmetic number, because the mean of its divisors is an integer number (2685200).

Almost surely, 2146344380 is an apocalyptic number.

146344380 is a gapful number since it is divisible by the number (10) 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 146344380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257779200).

146344380 is an abundant number, since it is smaller than the sum of its proper divisors (369214020).

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

146344380 is a wasteful number, since it uses less digits than its factorization.

146344380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 146344380 is about 12097.2881258570. The cubic root of 146344380 is about 526.9774314707.

The spelling of 146344380 in words is "one hundred forty-six million, three hundred forty-four thousand, three hundred eighty".