Search a number
-
+
414232440 = 23353451937
BaseRepresentation
bin11000101100001…
…010111101111000
31001212110012002020
4120230022331320
51322020414230
6105034234440
713156626516
oct3054127570
91055405066
10414232440
111a2906a66
12b6885a20
1367a8576b
143d02b4b6
1526575810
hex18b0af78

414232440 has 32 divisors (see below), whose sum is σ = 1242697680. Its totient is φ = 110461952.

The previous prime is 414232393. The next prime is 414232463. The reversal of 414232440 is 44232414.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 414232440.

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, 1725849 + ... + 1726088.

Almost surely, 2414232440 is an apocalyptic number.

414232440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414232440 is an abundant number, since it is smaller than the sum of its proper divisors (828465240).

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

414232440 is a wasteful number, since it uses less digits than its factorization.

414232440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3451951 (or 3451947 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 414232440 is about 20352.7010492465. The cubic root of 414232440 is about 745.4434487379.

Adding to 414232440 its reverse (44232414), we get a palindrome (458464854).

The spelling of 414232440 in words is "four hundred fourteen million, two hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 3451937 6903874 10355811 13807748 17259685 20711622 27615496 34519370 41423244 51779055 69038740 82846488 103558110 138077480 207116220 414232440