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1346012740 = 225179740813
BaseRepresentation
bin101000000111010…
…1000011001000100
310110210202112100201
41100032220121010
510224034401430
6341321420244
745232630252
oct12016503104
93423675321
101346012740
11630875326
1231693a684
13185b28557
14caa9b5d2
157d27d8ca
hex503a8644

1346012740 has 48 divisors (see below), whose sum is σ = 3023827632. Its totient is φ = 501497856.

The previous prime is 1346012729. The next prime is 1346012741. The reversal of 1346012740 is 472106431.

It can be written as a sum of positive squares in 8 ways, for example, as 232989696 + 1113023044 = 15264^2 + 33362^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1346012699 and 1346012708.

It is not an unprimeable number, because it can be changed into a prime (1346012741) 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 15 ways as a sum of consecutive naturals, for example, 12574 + ... + 53386.

It is an arithmetic number, because the mean of its divisors is an integer number (62996409).

Almost surely, 21346012740 is an apocalyptic number.

1346012740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1346012740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511913816).

1346012740 is an abundant number, since it is smaller than the sum of its proper divisors (1677814892).

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

1346012740 is a wasteful number, since it uses less digits than its factorization.

1346012740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40936 (or 40934 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 1346012740 is about 36688.0462821339. The cubic root of 1346012740 is about 1104.1202883443.

The spelling of 1346012740 in words is "one billion, three hundred forty-six million, twelve thousand, seven hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 97 170 194 340 388 485 970 1649 1940 3298 6596 8245 16490 32980 40813 81626 163252 204065 408130 693821 816260 1387642 2775284 3469105 3958861 6938210 7917722 13876420 15835444 19794305 39588610 67300637 79177220 134601274 269202548 336503185 673006370 1346012740