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146341632 = 283892141
BaseRepresentation
bin10001011100011…
…11111100000000
3101012100220222110
420232033330000
5244430413012
622304335320
73424611663
oct1056177400
9335326873
10146341632
11756736a8
1241014540
132441a9a8
14156156da
15ccaa73c
hex8b8ff00

146341632 has 72 divisors (see below), whose sum is σ = 394042320. Its totient is φ = 48209920.

The previous prime is 146341621. The next prime is 146341673. The reversal of 146341632 is 236143641.

146341632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 146341632.

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 7 ways as a sum of consecutive naturals, for example, 67282 + ... + 69422.

It is an arithmetic number, because the mean of its divisors is an integer number (5472810).

Almost surely, 2146341632 is an apocalyptic number.

146341632 is a gapful number since it is divisible by the number (12) 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 146341632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197021160).

146341632 is an abundant number, since it is smaller than the sum of its proper divisors (247700688).

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

146341632 is an equidigital number, since it uses as much as digits as its factorization.

146341632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2249 (or 2235 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 146341632 is about 12097.1745461492. The cubic root of 146341632 is about 526.9741329884.

The spelling of 146341632 in words is "one hundred forty-six million, three hundred forty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 128 178 192 256 267 356 384 534 712 768 1068 1424 2136 2141 2848 4272 4282 5696 6423 8544 8564 11392 12846 17088 17128 22784 25692 34176 34256 51384 68352 68512 102768 137024 190549 205536 274048 381098 411072 548096 571647 762196 822144 1143294 1524392 1644288 2286588 3048784 4573176 6097568 9146352 12195136 18292704 24390272 36585408 48780544 73170816 146341632