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145308384 = 25331317761
BaseRepresentation
bin10001010100100…
…11101011100000
3101010102102122000
420222103223200
5244144332014
622230244000
73413046414
oct1052235340
9333372560
10145308384
1175028381
12407b6600
13241485c0
1415426d44
15cb54509
hex8a93ae0

145308384 has 192 divisors, whose sum is σ = 483900480. Its totient is φ = 42024960.

The previous prime is 145308379. The next prime is 145308391. The reversal of 145308384 is 483803541.

It is a super-2 number, since 2×1453083842 = 42229052921382912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190564 + ... + 191324.

It is an arithmetic number, because the mean of its divisors is an integer number (2520315).

Almost surely, 2145308384 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 145308384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241950240).

145308384 is an abundant number, since it is smaller than the sum of its proper divisors (338592096).

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

145308384 is a wasteful number, since it uses less digits than its factorization.

145308384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 145308384 is about 12054.3927263052. The cubic root of 145308384 is about 525.7309654668.

The spelling of 145308384 in words is "one hundred forty-five million, three hundred eight thousand, three hundred eighty-four".