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34440004443 = 31310123936583
BaseRepresentation
bin100000000100110010…
…001100001101011011
310021220011221111110010
4200010302030031123
51031013120120233
623453240453003
72326312131135
oct400462141533
9107804844403
1034440004443
1113673537099
126811a7a163
13332b1c3970
141949db8055
15d68815b63
hex804c8c35b

34440004443 has 32 divisors (see below), whose sum is σ = 50152273920. Its totient is φ = 20895638400.

The previous prime is 34440004393. The next prime is 34440004481.

34440004443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34440004443 - 29 = 34440003931 is a prime.

It is a super-2 number, since 2×344400044432 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34440004443.

It is not an unprimeable number, because it can be changed into a prime (34440004043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 923130 + ... + 959712.

It is an arithmetic number, because the mean of its divisors is an integer number (1567258560).

Almost surely, 234440004443 is an apocalyptic number.

34440004443 is a deficient number, since it is larger than the sum of its proper divisors (15712269477).

34440004443 is a wasteful number, since it uses less digits than its factorization.

34440004443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36939.

The product of its (nonzero) digits is 36864, while the sum is 30.

It can be divided in two parts, 3444000 and 4443, that added together give a palindrome (3448443).

The spelling of 34440004443 in words is "thirty-four billion, four hundred forty million, four thousand, four hundred forty-three".

Divisors: 1 3 13 39 101 239 303 717 1313 3107 3939 9321 24139 36583 72417 109749 313807 475579 941421 1426737 3694883 8743337 11084649 26230011 48033479 113663381 144100437 340990143 883077037 2649231111 11480001481 34440004443