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434433640 = 23517798087
BaseRepresentation
bin11001111001001…
…110111001101000
31010021110111220211
4121321032321220
51342203334030
6111035230504
713523424244
oct3171167150
91107414824
10434433640
11203254473
121015a8434
136c009634
14419a9424
152821612a
hex19e4ee68

434433640 has 64 divisors (see below), whose sum is σ = 1048204800. Its totient is φ = 161461248.

The previous prime is 434433619. The next prime is 434433641. The reversal of 434433640 is 46334434.

It is not an unprimeable number, because it can be changed into a prime (434433641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49677 + ... + 57763.

It is an arithmetic number, because the mean of its divisors is an integer number (16378200).

Almost surely, 2434433640 is an apocalyptic number.

434433640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434433640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524102400).

434433640 is an abundant number, since it is smaller than the sum of its proper divisors (613771160).

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

434433640 is a wasteful number, since it uses less digits than its factorization.

434433640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8194 (or 8190 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 31.

The square root of 434433640 is about 20843.0717505842. The cubic root of 434433640 is about 757.3695070157.

The spelling of 434433640 in words is "four hundred thirty-four million, four hundred thirty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 79 85 136 158 170 316 340 395 632 680 790 1343 1580 2686 3160 5372 6715 8087 10744 13430 16174 26860 32348 40435 53720 64696 80870 137479 161740 274958 323480 549916 638873 687395 1099832 1277746 1374790 2555492 2749580 3194365 5110984 5499160 6388730 10860841 12777460 21721682 25554920 43443364 54304205 86886728 108608410 217216820 434433640