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1346315796 = 223374014441
BaseRepresentation
bin101000000111111…
…0010011000010100
310110211022221002000
41100033302120110
510224124101141
6341332115300
745235331640
oct12017623024
93424287060
101346315796
11630a61a91
12316a65b30
13185c03487
14cab39c20
157d2dd5b6
hex503f2614

1346315796 has 96 divisors (see below), whose sum is σ = 3999932160. Its totient is φ = 383616000.

The previous prime is 1346315779. The next prime is 1346315809. The reversal of 1346315796 is 6975136431.

It is a happy number.

1346315796 is a `hidden beast` number, since 1 + 3 + 4 + 631 + 5 + 7 + 9 + 6 = 666.

It is a super-2 number, since 2×13463157962 = 3625132445118227232, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 300936 + ... + 305376.

It is an arithmetic number, because the mean of its divisors is an integer number (41665960).

Almost surely, 21346315796 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 1346315796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999966080).

1346315796 is an abundant number, since it is smaller than the sum of its proper divisors (2653616364).

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

1346315796 is a wasteful number, since it uses less digits than its factorization.

1346315796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4862 (or 4854 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 1346315796 is about 36692.1762232768. The cubic root of 1346315796 is about 1104.2031466905.

The spelling of 1346315796 in words is "one billion, three hundred forty-six million, three hundred fifteen thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 401 756 802 1203 1604 2406 2807 3609 4441 4812 5614 7218 8421 8882 10827 11228 13323 14436 16842 17764 21654 25263 26646 31087 33684 39969 43308 50526 53292 62174 75789 79938 93261 101052 119907 124348 151578 159876 186522 239814 279783 303156 373044 479628 559566 839349 1119132 1678698 1780841 3357396 3561682 5342523 7123364 10685046 12465887 16027569 21370092 24931774 32055138 37397661 48082707 49863548 64110276 74795322 96165414 112192983 149590644 192330828 224385966 336578949 448771932 673157898 1346315796