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434070441 = 3379723677
BaseRepresentation
bin11001110111110…
…110001110101001
31010020210001201000
4121313312032221
51342110223231
6111023345213
713520352330
oct3167661651
91106701630
10434070441
11203026602
12101452209
136bc1021c
1441912d17
15281936e6
hex19df63a9

434070441 has 32 divisors (see below), whose sum is σ = 742542080. Its totient is φ = 245472768.

The previous prime is 434070433. The next prime is 434070443. The reversal of 434070441 is 144070434.

It is not a de Polignac number, because 434070441 - 23 = 434070433 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (434070443) 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, 6495 + ... + 30171.

It is an arithmetic number, because the mean of its divisors is an integer number (23204440).

Almost surely, 2434070441 is an apocalyptic number.

It is an amenable number.

434070441 is a deficient number, since it is larger than the sum of its proper divisors (308471639).

434070441 is a wasteful number, since it uses less digits than its factorization.

434070441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23790 (or 23784 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 434070441 is about 20834.3572255061. The cubic root of 434070441 is about 757.1583872842.

The spelling of 434070441 in words is "four hundred thirty-four million, seventy thousand, four hundred forty-one".

Divisors: 1 3 7 9 21 27 63 97 189 291 679 873 2037 2619 6111 18333 23677 71031 165739 213093 497217 639279 1491651 2296669 4474953 6890007 16076683 20670021 48230049 62010063 144690147 434070441