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772340 = 22523273
BaseRepresentation
bin10111100100011110100
31110020110012
42330203310
5144203330
624315352
76364502
oct2744364
91406405
10772340
114882a8
12312b58
1321070a
14161672
15103c95
hexbc8f4

772340 has 36 divisors (see below), whose sum is σ = 1718724. Its totient is φ = 291456.

The previous prime is 772339. The next prime is 772349. The reversal of 772340 is 43277.

It can be written as a sum of positive squares in 2 ways, for example, as 357604 + 414736 = 598^2 + 644^2 .

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772349) 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 11 ways as a sum of consecutive naturals, for example, 10544 + ... + 10616.

2772340 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 772340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859362).

772340 is an abundant number, since it is smaller than the sum of its proper divisors (946384).

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

772340 is a wasteful number, since it uses less digits than its factorization.

772340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 23.

The square root of 772340 is about 878.8287660290. The cubic root of 772340 is about 91.7493175586.

The spelling of 772340 in words is "seven hundred seventy-two thousand, three hundred forty", and thus it is an iban number.

Divisors: 1 2 4 5 10 20 23 46 73 92 115 146 230 292 365 460 529 730 1058 1460 1679 2116 2645 3358 5290 6716 8395 10580 16790 33580 38617 77234 154468 193085 386170 772340