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434113240 = 235118311887
BaseRepresentation
bin11001111000000…
…000101011011000
31010020212020102011
4121320000223120
51342113110430
6111024315304
713520621161
oct3170005330
91106766364
10434113240
11203055780
12101472b34
136bc26852
1441924768
15281a122a
hex19e00ad8

434113240 has 64 divisors (see below), whose sum is σ = 1078479360. Its totient is φ = 155944320.

The previous prime is 434113223. The next prime is 434113249. The reversal of 434113240 is 42311434.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434113249) 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, 30577 + ... + 42463.

It is an arithmetic number, because the mean of its divisors is an integer number (16851240).

Almost surely, 2434113240 is an apocalyptic number.

434113240 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 434113240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539239680).

434113240 is an abundant number, since it is smaller than the sum of its proper divisors (644366120).

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

434113240 is a wasteful number, since it uses less digits than its factorization.

434113240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11992 (or 11988 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 434113240 is about 20835.3843257090. The cubic root of 434113240 is about 757.1832715378.

Adding to 434113240 its reverse (42311434), we get a palindrome (476424674).

The spelling of 434113240 in words is "four hundred thirty-four million, one hundred thirteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 83 88 110 166 220 332 415 440 664 830 913 1660 1826 3320 3652 4565 7304 9130 11887 18260 23774 36520 47548 59435 95096 118870 130757 237740 261514 475480 523028 653785 986621 1046056 1307570 1973242 2615140 3946484 4933105 5230280 7892968 9866210 10852831 19732420 21705662 39464840 43411324 54264155 86822648 108528310 217056620 434113240