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145310312 = 23753173283
BaseRepresentation
bin10001010100101…
…00001001101000
3101010102112021102
420222110021220
5244144412222
622230300532
73413055140
oct1052241150
9333375242
10145310312
1175029874
12407b7748
1324149444
1415427920
15cb54d92
hex8a94268

145310312 has 64 divisors (see below), whose sum is σ = 320215680. Its totient is φ = 60532992.

The previous prime is 145310311. The next prime is 145310351. The reversal of 145310312 is 213013541.

It is a super-2 number, since 2×1453103122 = 42230173547074688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145310311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 513323 + ... + 513605.

It is an arithmetic number, because the mean of its divisors is an integer number (5003370).

Almost surely, 2145310312 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 145310312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160107840).

145310312 is an abundant number, since it is smaller than the sum of its proper divisors (174905368).

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

145310312 is a wasteful number, since it uses less digits than its factorization.

145310312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 145310312 is about 12054.4726968872. The cubic root of 145310312 is about 525.7332906477.

Adding to 145310312 its reverse (213013541), we get a palindrome (358323853).

The spelling of 145310312 in words is "one hundred forty-five million, three hundred ten thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 53 56 106 173 212 283 346 371 424 566 692 742 1132 1211 1384 1484 1981 2264 2422 2968 3962 4844 7924 9169 9688 14999 15848 18338 29998 36676 48959 59996 64183 73352 97918 104993 119992 128366 195836 209986 256732 342713 391672 419972 513464 685426 839944 1370852 2594827 2741704 5189654 10379308 18163789 20758616 36327578 72655156 145310312