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1345674240 = 210325192953
BaseRepresentation
bin101000000110101…
…0101110000000000
310110210010100000200
41100031111300000
510223443033430
6341310245200
745230020341
oct12015256000
93423110020
101345674240
11630663a79
123167b6800
13185a3a461
14caa100c8
157d213460
hex50355c00

1345674240 has 528 divisors, whose sum is σ = 5173178400. Its totient is φ = 322043904.

The previous prime is 1345674223. The next prime is 1345674247. The reversal of 1345674240 is 424765431.

1345674240 is a `hidden beast` number, since 1 + 345 + 6 + 74 + 240 = 666.

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 = 1345674195 and 1345674204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345674247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25390054 + ... + 25390106.

Almost surely, 21345674240 is an apocalyptic number.

1345674240 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 1345674240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2586589200).

1345674240 is an abundant number, since it is smaller than the sum of its proper divisors (3827504160).

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

1345674240 is a wasteful number, since it uses less digits than its factorization.

1345674240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 1345674240 is about 36683.4327728472. The cubic root of 1345674240 is about 1104.0277245716.

The spelling of 1345674240 in words is "one billion, three hundred forty-five million, six hundred seventy-four thousand, two hundred forty".