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1396362240 = 21034571337
BaseRepresentation
bin101001100111010…
…1100110000000000
310121022111112220000
41103032230300000
510324432042430
6350320520000
746413611640
oct12316546000
93538445800
101396362240
11657234689
1232b780000
131933a6a60
14d3646520
15828c6e60
hex533acc00

1396362240 has 880 divisors, whose sum is σ = 6324935232. Its totient is φ = 286654464.

The previous prime is 1396362229. The next prime is 1396362259. The reversal of 1396362240 is 422636931.

1396362240 is a `hidden beast` number, since 13 + 9 + 636 + 2 + 2 + 4 + 0 = 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 = 1396362195 and 1396362204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 37739502 + ... + 37739538.

Almost surely, 21396362240 is an apocalyptic number.

1396362240 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 1396362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3162467616).

1396362240 is an abundant number, since it is smaller than the sum of its proper divisors (4928572992).

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

1396362240 is a wasteful number, since it uses less digits than its factorization.

1396362240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 1396362240 is about 37367.9306357738. The cubic root of 1396362240 is about 1117.7191678596.

The spelling of 1396362240 in words is "one billion, three hundred ninety-six million, three hundred sixty-two thousand, two hundred forty".