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434054000 = 2453217027
BaseRepresentation
bin11001110111110…
…010001101110000
31010020202020011002
4121313302031300
51342104212000
6111023141132
713520253362
oct3167621560
91106666132
10434054000
11203015216
121014447a8
136bc058b3
144190ad32
152818d8d5
hex19df2370

434054000 has 40 divisors (see below), whose sum is σ = 1049547408. Its totient is φ = 173620800.

The previous prime is 434053981. The next prime is 434054021. The reversal of 434054000 is 450434.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 106514 + ... + 110513.

Almost surely, 2434054000 is an apocalyptic number.

434054000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434054000 is an abundant number, since it is smaller than the sum of its proper divisors (615493408).

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

434054000 is a wasteful number, since it uses less digits than its factorization.

434054000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217050 (or 217034 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 434054000 is about 20833.9626571615. The cubic root of 434054000 is about 757.1488277005.

The spelling of 434054000 in words is "four hundred thirty-four million, fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 217027 434054 868108 1085135 1736216 2170270 3472432 4340540 5425675 8681080 10851350 17362160 21702700 27128375 43405400 54256750 86810800 108513500 217027000 434054000