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1034443424 = 25716727653
BaseRepresentation
bin111101101010000…
…101101010100000
32200002111011121102
4331222011222200
54104304142144
6250351413532
734430424020
oct7552055240
92602434542
101034443424
11490a09723
1224a5242a8
13136409801
149b555a80
1560c36b4e
hex3da85aa0

1034443424 has 48 divisors (see below), whose sum is σ = 2341519488. Its totient is φ = 440662272.

The previous prime is 1034443409. The next prime is 1034443439. The reversal of 1034443424 is 4243444301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1034443409) and next prime (1034443439).

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, 23582 + ... + 51234.

It is an arithmetic number, because the mean of its divisors is an integer number (48781656).

Almost surely, 21034443424 is an apocalyptic number.

1034443424 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 1034443424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170759744).

1034443424 is an abundant number, since it is smaller than the sum of its proper divisors (1307076064).

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

1034443424 is a wasteful number, since it uses less digits than its factorization.

1034443424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27837 (or 27829 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

The square root of 1034443424 is about 32162.7645577926. The cubic root of 1034443424 is about 1011.3517905749.

Adding to 1034443424 its reverse (4243444301), we get a palindrome (5277887725).

The spelling of 1034443424 in words is "one billion, thirty-four million, four hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 167 224 334 668 1169 1336 2338 2672 4676 5344 9352 18704 27653 37408 55306 110612 193571 221224 387142 442448 774284 884896 1548568 3097136 4618051 6194272 9236102 18472204 32326357 36944408 64652714 73888816 129305428 147777632 258610856 517221712 1034443424