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145354032 = 24322934807
BaseRepresentation
bin10001010100111…
…10110100110000
3101010111202020200
420222132310300
5244202312112
622231235200
73413326455
oct1052366460
9333452220
10145354032
11750596aa
1240818b00
1324163305
141543982c
15cb62cdc
hex8a9ed30

145354032 has 60 divisors (see below), whose sum is σ = 420828720. Its totient is φ = 46779264.

The previous prime is 145354031. The next prime is 145354057. The reversal of 145354032 is 230453541.

It is a super-2 number, since 2×1453540322 = 42255589237314048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145353987 and 145354005.

It is not an unprimeable number, because it can be changed into a prime (145354031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13228 + ... + 21579.

It is an arithmetic number, because the mean of its divisors is an integer number (7013812).

Almost surely, 2145354032 is an apocalyptic number.

145354032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145354032 is an abundant number, since it is smaller than the sum of its proper divisors (275474688).

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

145354032 is a wasteful number, since it uses less digits than its factorization.

145354032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34850 (or 34841 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 145354032 is about 12056.2859952806. The cubic root of 145354032 is about 525.7860117389.

The spelling of 145354032 in words is "one hundred forty-five million, three hundred fifty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 34807 69614 104421 139228 208842 278456 313263 417684 556912 626526 835368 1009403 1253052 1670736 2018806 2506104 3028209 4037612 5012208 6056418 8075224 9084627 12112836 16150448 18169254 24225672 36338508 48451344 72677016 145354032