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146399484 = 2237111931269
BaseRepresentation
bin10001011100111…
…10000011111100
3101012110212100010
420232132003330
5244434240414
622305503220
73425242440
oct1056360374
9335425303
10146399484
1175703110
1241041b10
132443b11a
141562c820
15ccbc959
hex8b9e0fc

146399484 has 192 divisors, whose sum is σ = 464486400. Its totient is φ = 34732800.

The previous prime is 146399447. The next prime is 146399507. The reversal of 146399484 is 484993641.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 544102 + ... + 544370.

It is an arithmetic number, because the mean of its divisors is an integer number (2419200).

Almost surely, 2146399484 is an apocalyptic number.

146399484 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 146399484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232243200).

146399484 is an abundant number, since it is smaller than the sum of its proper divisors (318086916).

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

146399484 is a wasteful number, since it uses less digits than its factorization.

146399484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 342 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The square root of 146399484 is about 12099.5654467423. The cubic root of 146399484 is about 527.0435652492.

The spelling of 146399484 in words is "one hundred forty-six million, three hundred ninety-nine thousand, four hundred eighty-four".