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114274944 = 2732737383
BaseRepresentation
bin1101100111110…
…11001010000000
321222000202202100
412303323022000
5213223244234
615201150400
72555215050
oct663731200
9258022670
10114274944
1159561503
123232b400
131a8a1114
1411269560
15a074399
hex6cfb280

114274944 has 192 divisors, whose sum is σ = 386979840. Its totient is φ = 31684608.

The previous prime is 114274939. The next prime is 114274957. The reversal of 114274944 is 449472411.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 junction number, because it is equal to n+sod(n) for n = 114274899 and 114274908.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298177 + ... + 298559.

It is an arithmetic number, because the mean of its divisors is an integer number (2015520).

Almost surely, 2114274944 is an apocalyptic number.

114274944 is a gapful number since it is divisible by the number (14) 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 114274944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193489920).

114274944 is an abundant number, since it is smaller than the sum of its proper divisors (272704896).

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

114274944 is a wasteful number, since it uses less digits than its factorization.

114274944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 432 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 114274944 is about 10689.9459306397. The cubic root of 114274944 is about 485.2702557264.

The spelling of 114274944 in words is "one hundred fourteen million, two hundred seventy-four thousand, nine hundred forty-four".