Search a number
-
+
434223240 = 2335111013257
BaseRepresentation
bin11001111000011…
…011100010001000
31010021001211022020
4121320123202020
51342130120430
6111030524440
713521556653
oct3170334210
91107054266
10434223240
11203120390
12101506720
136bc64939
144195289a
15281c3b10
hex19e1b888

434223240 has 128 divisors (see below), whose sum is σ = 1435605120. Its totient is φ = 104192000.

The previous prime is 434223239. The next prime is 434223247. The reversal of 434223240 is 42322434.

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 434223240.

It is not an unprimeable number, because it can be changed into a prime (434223247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131692 + ... + 134948.

It is an arithmetic number, because the mean of its divisors is an integer number (11215665).

Almost surely, 2434223240 is an apocalyptic number.

434223240 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 434223240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717802560).

434223240 is an abundant number, since it is smaller than the sum of its proper divisors (1001381880).

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

434223240 is a wasteful number, since it uses less digits than its factorization.

434223240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3383 (or 3379 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 434223240 is about 20838.0238986330. The cubic root of 434223240 is about 757.2472203867.

Adding to 434223240 its reverse (42322434), we get a palindrome (476545674).

The spelling of 434223240 in words is "four hundred thirty-four million, two hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 101 110 120 132 165 202 220 264 303 330 404 440 505 606 660 808 1010 1111 1212 1320 1515 2020 2222 2424 3030 3257 3333 4040 4444 5555 6060 6514 6666 8888 9771 11110 12120 13028 13332 16285 16665 19542 22220 26056 26664 32570 33330 35827 39084 44440 48855 65140 66660 71654 78168 97710 107481 130280 133320 143308 179135 195420 214962 286616 328957 358270 390840 429924 537405 657914 716540 859848 986871 1074810 1315828 1433080 1644785 1973742 2149620 2631656 3289570 3618527 3947484 4299240 4934355 6579140 7237054 7894968 9868710 10855581 13158280 14474108 18092635 19737420 21711162 28948216 36185270 39474840 43422324 54277905 72370540 86844648 108555810 144741080 217111620 434223240