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1344623616 = 210327191097
BaseRepresentation
bin101000000100101…
…0101010000000000
310110201010221211200
41100021111100000
510223210423431
6341231541200
745215053320
oct12011252000
93421127750
101344623616
11630006696
1231638a800
1318576019b
14ca819280
157d0a6ee6
hex50255400

1344623616 has 264 divisors, whose sum is σ = 4675020480. Its totient is φ = 363626496.

The previous prime is 1344623593. The next prime is 1344623633. The reversal of 1344623616 is 6163264431.

1344623616 is a `hidden beast` number, since 1 + 34 + 4 + 6 + 2 + 3 + 616 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1225180 + ... + 1226276.

Almost surely, 21344623616 is an apocalyptic number.

1344623616 is a gapful number since it is divisible by the number (16) 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 1344623616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2337510240).

1344623616 is an abundant number, since it is smaller than the sum of its proper divisors (3330396864).

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

1344623616 is a wasteful number, since it uses less digits than its factorization.

1344623616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1128 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 1344623616 is about 36669.1098337552. The cubic root of 1344623616 is about 1103.7403296023.

The spelling of 1344623616 in words is "one billion, three hundred forty-four million, six hundred twenty-three thousand, six hundred sixteen".