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70312 = 23111747
BaseRepresentation
bin10001001010101000
310120110011
4101022220
54222222
61301304
7411664
oct211250
9116404
1070312
1148910
1234834
1326008
141b8a4
1515c77
hex112a8

70312 has 32 divisors (see below), whose sum is σ = 155520. Its totient is φ = 29440.

The previous prime is 70309. The next prime is 70313. The reversal of 70312 is 21307.

It is a nialpdrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 70292 and 70301.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 70312.

It is not an unprimeable number, because it can be changed into a prime (70313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1473 + ... + 1519.

It is an arithmetic number, because the mean of its divisors is an integer number (4860).

270312 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 70312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77760).

70312 is an abundant number, since it is smaller than the sum of its proper divisors (85208).

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

70312 is a wasteful number, since it uses less digits than its factorization.

70312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 70312 is about 265.1641001342. The cubic root of 70312 is about 41.2739927761.

Adding to 70312 its reverse (21307), we get a palindrome (91619).

The spelling of 70312 in words is "seventy thousand, three hundred twelve", and thus it is an iban number.

Divisors: 1 2 4 8 11 17 22 34 44 47 68 88 94 136 187 188 374 376 517 748 799 1034 1496 1598 2068 3196 4136 6392 8789 17578 35156 70312