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1021114304 = 2676734019
BaseRepresentation
bin111100110111001…
…111011111000000
32122011101222111022
4330313033133000
54042401124204
6245154005012
734206220430
oct7467173700
92564358438
101021114304
11484435321
12245b76768
13133720862
14998862c0
155e9a25be
hex3cdcf7c0

1021114304 has 56 divisors (see below), whose sum is σ = 2350373760. Its totient is φ = 431076096.

The previous prime is 1021114277. The next prime is 1021114337. The reversal of 1021114304 is 4034111201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13007 + ... + 47025.

It is an arithmetic number, because the mean of its divisors is an integer number (41970960).

Almost surely, 21021114304 is an apocalyptic number.

1021114304 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 1021114304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175186880).

1021114304 is an abundant number, since it is smaller than the sum of its proper divisors (1329259456).

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

1021114304 is an equidigital number, since it uses as much as digits as its factorization.

1021114304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34105 (or 34095 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1021114304 is about 31954.8791892568. The cubic root of 1021114304 is about 1006.9891394609.

Adding to 1021114304 its reverse (4034111201), we get a palindrome (5055225505).

The spelling of 1021114304 in words is "one billion, twenty-one million, one hundred fourteen thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 67 112 134 224 268 448 469 536 938 1072 1876 2144 3752 4288 7504 15008 30016 34019 68038 136076 238133 272152 476266 544304 952532 1088608 1905064 2177216 2279273 3810128 4558546 7620256 9117092 15240512 15954911 18234184 31909822 36468368 63819644 72936736 127639288 145873472 255278576 510557152 1021114304