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1396233216 = 21032723941
BaseRepresentation
bin101001100111000…
…1101010000000000
310121022020222220100
41103032031100000
510324413430331
6350314042400
746412533530
oct12316152000
93538228810
101396233216
11657156754
1232b719400
13193360101
14d36114c0
158289dae6
hex5338d400

1396233216 has 264 divisors, whose sum is σ = 4812971904. Its totient is φ = 381173760.

The previous prime is 1396233187. The next prime is 1396233271. The reversal of 1396233216 is 6123326931.

It is a happy number.

1396233216 is a `hidden beast` number, since 1 + 3 + 9 + 623 + 3 + 21 + 6 = 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1483306 + ... + 1484246.

Almost surely, 21396233216 is an apocalyptic number.

1396233216 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 1396233216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2406485952).

1396233216 is an abundant number, since it is smaller than the sum of its proper divisors (3416738688).

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

1396233216 is a wasteful number, since it uses less digits than its factorization.

1396233216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 976 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 1396233216 is about 37366.2041957703. The cubic root of 1396233216 is about 1117.6847410144.

The spelling of 1396233216 in words is "one billion, three hundred ninety-six million, two hundred thirty-three thousand, two hundred sixteen".