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1346890824 = 23321710492
BaseRepresentation
bin101000001000111…
…1110110001001000
310110212102010212100
41100101332301020
510224301001244
6341352313400
745243245256
oct12021766110
93425363770
101346890824
11631315014
123170a2860
13186075126
14cac495d6
157d3a3b69
hex5047ec48

1346890824 has 72 divisors (see below), whose sum is σ = 3866093010. Its totient is φ = 422151168.

The previous prime is 1346890813. The next prime is 1346890843. The reversal of 1346890824 is 4280986431.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1276632900 + 70257924 = 35730^2 + 8382^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×13468908242 = 3628229783550797952, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1346890824.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 1283452 + ... + 1284500.

Almost surely, 21346890824 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 1346890824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933046505).

1346890824 is an abundant number, since it is smaller than the sum of its proper divisors (2519202186).

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

1346890824 is a wasteful number, since it uses less digits than its factorization.

1346890824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 1346890824 is about 36700.0112261563. The cubic root of 1346890824 is about 1104.3603305529.

The spelling of 1346890824 in words is "one billion, three hundred forty-six million, eight hundred ninety thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1049 1224 2098 3147 4196 6294 8392 9441 12588 17833 18882 25176 35666 37764 53499 71332 75528 106998 142664 160497 213996 320994 427992 641988 1100401 1283976 2200802 3301203 4401604 6602406 8803208 9903609 13204812 18706817 19807218 26409624 37413634 39614436 56120451 74827268 79228872 112240902 149654536 168361353 224481804 336722706 448963608 673445412 1346890824