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1214938368 = 28327711061
BaseRepresentation
bin100100001101010…
…0111110100000000
310010200010021010100
41020122213310000
54442011011433
6320320202400
742051543240
oct11032476400
93120107110
101214938368
1157388a1a6
1229aa69400
13164924a57
14b74dbb20
15719dbb13
hex486a7d00

1214938368 has 216 divisors, whose sum is σ = 4063602816. Its totient is φ = 341913600.

The previous prime is 1214938367. The next prime is 1214938369. The reversal of 1214938368 is 8638394121.

1214938368 is a `hidden beast` number, since 1 + 21 + 493 + 83 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (1214938367) and next prime (1214938369).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214938367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1144558 + ... + 1145618.

It is an arithmetic number, because the mean of its divisors is an integer number (18812976).

Almost surely, 21214938368 is an apocalyptic number.

1214938368 is a gapful number since it is divisible by the number (18) 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 1214938368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2031801408).

1214938368 is an abundant number, since it is smaller than the sum of its proper divisors (2848664448).

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

1214938368 is a wasteful number, since it uses less digits than its factorization.

1214938368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1144 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 1214938368 is about 34855.9660316566. The cubic root of 1214938368 is about 1067.0499483713.

The spelling of 1214938368 in words is "one billion, two hundred fourteen million, nine hundred thirty-eight thousand, three hundred sixty-eight".