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145409328 = 24321009787
BaseRepresentation
bin10001010101011…
…00010100110000
3101010121120002200
420222230110300
5244211044303
622232343200
73413646621
oct1052542460
9333546080
10145409328
11750971a9
1240844b00
132418252c
1415451a48
15cb743a3
hex8aac530

145409328 has 30 divisors (see below), whose sum is σ = 406944564. Its totient is φ = 48469728.

The previous prime is 145409321. The next prime is 145409339. The reversal of 145409328 is 823904541.

145409328 is a `hidden beast` number, since 1 + 4 + 540 + 93 + 28 = 666.

It is a super-2 number, since 2×1454093282 = 42287745338823168, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 145409292 and 145409301.

It is not an unprimeable number, because it can be changed into a prime (145409321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 504750 + ... + 505037.

Almost surely, 2145409328 is an apocalyptic number.

145409328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

145409328 is an abundant number, since it is smaller than the sum of its proper divisors (261535236).

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

145409328 is a wasteful number, since it uses less digits than its factorization.

145409328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009801 (or 1009792 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 145409328 is about 12058.5790207636. The cubic root of 145409328 is about 525.8526769629.

The spelling of 145409328 in words is "one hundred forty-five million, four hundred nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1009787 2019574 3029361 4039148 6058722 8078296 9088083 12117444 16156592 18176166 24234888 36352332 48469776 72704664 145409328