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1014010432 = 261091371061
BaseRepresentation
bin111100011100001…
…001001001000000
32121200001001210221
4330130021021000
54034041313212
6244341432424
734061642431
oct7434111100
92550031727
101014010432
11480423056
1224370b714
13132104296
1498957488
155e04c807
hex3c709240

1014010432 has 56 divisors (see below), whose sum is σ = 2047387320. Its totient is φ = 498216960.

The previous prime is 1014010429. The next prime is 1014010471. The reversal of 1014010432 is 2340104101.

It can be written as a sum of positive squares in 4 ways, for example, as 340919296 + 673091136 = 18464^2 + 25944^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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 7 ways as a sum of consecutive naturals, for example, 955182 + ... + 956242.

Almost surely, 21014010432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1014010432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023693660).

1014010432 is an abundant number, since it is smaller than the sum of its proper divisors (1033376888).

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

1014010432 is a wasteful number, since it uses less digits than its factorization.

1014010432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1014010432 is about 31843.5304575356. The cubic root of 1014010432 is about 1004.6485019472.

Adding to 1014010432 its reverse (2340104101), we get a palindrome (3354114533).

The spelling of 1014010432 in words is "one billion, fourteen million, ten thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 109 137 218 274 436 548 872 1061 1096 1744 2122 2192 3488 4244 4384 6976 8488 8768 14933 16976 29866 33952 59732 67904 115649 119464 145357 231298 238928 290714 462596 477856 581428 925192 955712 1162856 1850384 2325712 3700768 4651424 7401536 9302848 15843913 31687826 63375652 126751304 253502608 507005216 1014010432