Search a number
-
+
1345861440 = 263357211172
BaseRepresentation
bin101000000111000…
…0011011101000000
310110210110211211000
41100032003131000
510224020031230
6341314252000
745231430200
oct12016033500
93423424730
101345861440
11630781690
12316887000
13185aa4721
14caa5c400
157d24db60
hex50383740

1345861440 has 1008 divisors, whose sum is σ = 6400434240. Its totient is φ = 263208960.

The previous prime is 1345861427. The next prime is 1345861469. The reversal of 1345861440 is 441685431.

1345861440 is a `hidden beast` number, since 1 + 34 + 5 + 8 + 614 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×13458614402 = 3622686031357747200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1345861395 and 1345861404.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 79168312 + ... + 79168328.

Almost surely, 21345861440 is an apocalyptic number.

1345861440 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 1345861440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3200217120).

1345861440 is an abundant number, since it is smaller than the sum of its proper divisors (5054572800).

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

1345861440 is a wasteful number, since it uses less digits than its factorization.

1345861440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1345861440 is about 36685.9842446676. The cubic root of 1345861440 is about 1104.0789168540.

The spelling of 1345861440 in words is "one billion, three hundred forty-five million, eight hundred sixty-one thousand, four hundred forty".