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434434 = 272111331
BaseRepresentation
bin1101010000100000010
3211001221011
41222010002
5102400214
613151134
73456400
oct1520402
9731834
10434434
11277440
1218b4aa
13122980
14b4470
1588ac4
hex6a102

434434 has 48 divisors (see below), whose sum is σ = 919296. Its totient is φ = 151200.

The previous prime is 434431. The next prime is 434437.

434434 = T252 + T253 + ... + T264.

It is a happy number.

434434 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (434431) and next prime (434437).

It is a Harshad number since it is a multiple of its sum of digits (22).

Its product of digits (2304) is a multiple of the sum of its prime divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13999 + ... + 14029.

It is an arithmetic number, because the mean of its divisors is an integer number (19152).

2434434 is an apocalyptic number.

434434 is an abundant number, since it is smaller than the sum of its proper divisors (484862).

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

434434 is a wasteful number, since it uses less digits than its factorization.

434434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 64 counting only the distinct ones).

The product of its digits is 2304, while the sum is 22.

The square root of 434434 is about 659.1160747547. The cubic root of 434434 is about 75.7369716218.

It can be divided in two parts, 4344 and 34, that multiplied together give a triangular number (147696 = T543).

The spelling of 434434 in words is "four hundred thirty-four thousand, four hundred thirty-four".

Divisors: 1 2 7 11 13 14 22 26 31 49 62 77 91 98 143 154 182 217 286 341 403 434 539 637 682 806 1001 1078 1274 1519 2002 2387 2821 3038 4433 4774 5642 7007 8866 14014 16709 19747 31031 33418 39494 62062 217217 434434