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1004000431 = 71033474013
BaseRepresentation
bin111011110101111…
…101010010101111
32120222012111200011
4323311331102233
54024011003211
6243343114051
733610601650
oct7365752257
92528174604
101004000431
11475806425
122402a2927
1313000acc5
14974ad527
155d221921
hex3bd7d4af

1004000431 has 16 divisors (see below), whose sum is σ = 1162197504. Its totient is φ = 849549024.

The previous prime is 1004000429. The next prime is 1004000443. The reversal of 1004000431 is 1340004001.

It is a cyclic number.

It is not a de Polignac number, because 1004000431 - 21 = 1004000429 is a prime.

It is a super-2 number, since 2×10040004312 = 2016033730896371522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004000411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248181 + ... + 252193.

It is an arithmetic number, because the mean of its divisors is an integer number (72637344).

Almost surely, 21004000431 is an apocalyptic number.

1004000431 is a deficient number, since it is larger than the sum of its proper divisors (158197073).

1004000431 is a wasteful number, since it uses less digits than its factorization.

1004000431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4470.

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1004000431 is about 31685.9658366287. The cubic root of 1004000431 is about 1001.3317027805.

Adding to 1004000431 its reverse (1340004001), we get a palindrome (2344004432).

The spelling of 1004000431 in words is "one billion, four million, four hundred thirty-one", and thus it is an aban number.

Divisors: 1 7 103 347 721 2429 4013 28091 35741 250187 413339 1392511 2893373 9747577 143428633 1004000431