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146090304 = 263428181
BaseRepresentation
bin10001011010100…
…10100101000000
3101011220011020000
420231102211000
5244344342204
622255120000
73422514153
oct1055224500
9334804200
10146090304
1175511898
1240b13000
1324360489
141558bc9a
15cc5b039
hex8b52940

146090304 has 70 divisors (see below), whose sum is σ = 433072794. Its totient is φ = 48695040.

The previous prime is 146090293. The next prime is 146090309. The reversal of 146090304 is 403090641.

It can be written as a sum of positive squares in only one way, i.e., 142850304 + 3240000 = 11952^2 + 1800^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146090309) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 8907 + ... + 19274.

Almost surely, 2146090304 is an apocalyptic number.

It is an amenable number.

146090304 is an abundant number, since it is smaller than the sum of its proper divisors (286982490).

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

146090304 is an equidigital number, since it uses as much as digits as its factorization.

146090304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28205 (or 28186 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 146090304 is about 12086.7822020586. The cubic root of 146090304 is about 526.6722839402.

The spelling of 146090304 in words is "one hundred forty-six million, ninety thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 28181 56362 84543 112724 169086 225448 253629 338172 450896 507258 676344 760887 901792 1014516 1352688 1521774 1803584 2029032 2282661 2705376 3043548 4058064 4565322 5410752 6087096 8116128 9130644 12174192 16232256 18261288 24348384 36522576 48696768 73045152 146090304