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146448328 = 2313531632
BaseRepresentation
bin10001011101010…
…01111111001000
3101012120100100011
420232221333020
5244442321303
622310521304
73425535025
oct1056517710
9335510304
10146448328
1175736884
1241066234
1324457420
141564254c
15cccc16d
hex8ba9fc8

146448328 has 48 divisors (see below), whose sum is σ = 303152220. Its totient is φ = 65909376.

The previous prime is 146448317. The next prime is 146448359. The reversal of 146448328 is 823844641.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 145491844 + 956484 = 12062^2 + 978^2 .

It is a super-2 number, since 2×1464483282 = 42894225547991168, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 898375 + ... + 898537.

Almost surely, 2146448328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146448328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151576110).

146448328 is an abundant number, since it is smaller than the sum of its proper divisors (156703892).

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

146448328 is a wasteful number, since it uses less digits than its factorization.

146448328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 231 counting only the distinct ones).

The product of its digits is 147456, while the sum is 40.

The square root of 146448328 is about 12101.5836980124. The cubic root of 146448328 is about 527.1021721350.

The spelling of 146448328 in words is "one hundred forty-six million, four hundred forty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 26 52 53 104 106 163 212 326 424 652 689 1304 1378 2119 2756 4238 5512 8476 8639 16952 17278 26569 34556 53138 69112 106276 112307 212552 224614 345397 449228 690794 898456 1381588 1408157 2763176 2816314 5632628 11265256 18306041 36612082 73224164 146448328