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434141020 = 22529253487
BaseRepresentation
bin11001111000000…
…111011101011100
31010020220122112001
4121320013131130
51342120003040
6111025052044
713521065155
oct3170073534
91106818461
10434141020
11203074635
12101487024
136bc363a1
144193092c
15281a959a
hex19e0775c

434141020 has 72 divisors (see below), whose sum is σ = 964008864. Its totient is φ = 164166912.

The previous prime is 434140997. The next prime is 434141023. The reversal of 434141020 is 20141434.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434141023) 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, 891217 + ... + 891703.

It is an arithmetic number, because the mean of its divisors is an integer number (13389012).

Almost surely, 2434141020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434141020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482004432).

434141020 is an abundant number, since it is smaller than the sum of its proper divisors (529867844).

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

434141020 is a wasteful number, since it uses less digits than its factorization.

434141020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 434141020 is about 20836.0509694136. The cubic root of 434141020 is about 757.1994225484.

Adding to 434141020 its reverse (20141434), we get a palindrome (454282454).

The spelling of 434141020 in words is "four hundred thirty-four million, one hundred forty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 29 53 58 106 116 145 212 265 290 487 530 580 841 974 1060 1537 1682 1948 2435 3074 3364 4205 4870 6148 7685 8410 9740 14123 15370 16820 25811 28246 30740 44573 51622 56492 70615 89146 103244 129055 141230 178292 222865 258110 282460 409567 445730 516220 748519 819134 891460 1497038 1638268 2047835 2994076 3742595 4095670 7485190 8191340 14970380 21707051 43414102 86828204 108535255 217070510 434141020