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312032032 = 2513750077
BaseRepresentation
bin10010100110010…
…011101100100000
3210202010212110221
4102212103230200
51114340011112
650543532424
710506141244
oct2246235440
9722125427
10312032032
11150152314
12885ba114
134c851550
142d626424
151c5d8e07
hex12993b20

312032032 has 24 divisors (see below), whose sum is σ = 661568796. Its totient is φ = 144014592.

The previous prime is 312032027. The next prime is 312032057. The reversal of 312032032 is 230230213.

It can be written as a sum of positive squares in 2 ways, for example, as 301508496 + 10523536 = 17364^2 + 3244^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 312031997 and 312032015.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 374623 + ... + 375454.

Almost surely, 2312032032 is an apocalyptic number.

312032032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

312032032 is an abundant number, since it is smaller than the sum of its proper divisors (349536764).

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

312032032 is a wasteful number, since it uses less digits than its factorization.

312032032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750100 (or 750092 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 312032032 is about 17664.4284368332. The cubic root of 312032032 is about 678.2654987669.

Adding to 312032032 its reverse (230230213), we get a palindrome (542262245).

The spelling of 312032032 in words is "three hundred twelve million, thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 750077 1500154 3000308 6000616 9751001 12001232 19502002 24002464 39004004 78008008 156016016 312032032