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4334040420 = 22352311327793
BaseRepresentation
bin1000000100101010…
…00011010101100100
3102012001021001202120
410002111003111210
532334003243140
61554021305540
7212254510233
oct40225032544
912161231676
104334040420
1119244a8796
12a0b5652b0
13540baa578
142d1868b1a
151a575a1d0
hex102543564

4334040420 has 96 divisors (see below), whose sum is σ = 12775456512. Its totient is φ = 1095671808.

The previous prime is 4334040419. The next prime is 4334040437. The reversal of 4334040420 is 240404334.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142044 + ... + 169836.

It is an arithmetic number, because the mean of its divisors is an integer number (133077672).

Almost surely, 24334040420 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 4334040420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6387728256).

4334040420 is an abundant number, since it is smaller than the sum of its proper divisors (8441416092).

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

4334040420 is a wasteful number, since it uses less digits than its factorization.

4334040420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27941 (or 27939 counting only the distinct ones).

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

The square root of 4334040420 is about 65833.4293501410. The cubic root of 4334040420 is about 1630.4130861153.

Adding to 4334040420 its reverse (240404334), we get a palindrome (4574444754).

The spelling of 4334040420 in words is "four billion, three hundred thirty-four million, forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 113 115 138 226 230 276 339 345 452 460 565 678 690 1130 1356 1380 1695 2260 2599 3390 5198 6780 7797 10396 12995 15594 25990 27793 31188 38985 51980 55586 77970 83379 111172 138965 155940 166758 277930 333516 416895 555860 639239 833790 1278478 1667580 1917717 2556956 3140609 3196195 3835434 6281218 6392390 7670868 9421827 9588585 12562436 12784780 15703045 18843654 19177170 31406090 37687308 38354340 47109135 62812180 72234007 94218270 144468014 188436540 216702021 288936028 361170035 433404042 722340070 866808084 1083510105 1444680140 2167020210 4334040420