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146342364 = 22371742171
BaseRepresentation
bin10001011100100…
…00000111011100
3101012100221222120
420232100013130
5244430423424
622304342540
73424614060
oct1056200734
9335327876
10146342364
1175674203
1241014a50
132441b11c
1415615aa0
15ccaaa79
hex8b901dc

146342364 has 24 divisors (see below), whose sum is σ = 390246528. Its totient is φ = 41812080.

The previous prime is 146342347. The next prime is 146342377. The reversal of 146342364 is 463243641.

It is a super-2 number, since 2×1463423642 = 42832175002216992, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 871002 + ... + 871169.

It is an arithmetic number, because the mean of its divisors is an integer number (16260272).

Almost surely, 2146342364 is an apocalyptic number.

146342364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

146342364 is an abundant number, since it is smaller than the sum of its proper divisors (243904164).

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

146342364 is a wasteful number, since it uses less digits than its factorization.

146342364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1742185 (or 1742183 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

The square root of 146342364 is about 12097.2048011100. The cubic root of 146342364 is about 526.9750116274.

The spelling of 146342364 in words is "one hundred forty-six million, three hundred forty-two thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 1742171 3484342 5226513 6968684 10453026 12195197 20906052 24390394 36585591 48780788 73171182 146342364