Search a number
-
+
3424423840 = 255131199821
BaseRepresentation
bin1100110000011100…
…1000111110100000
322211122122202101121
43030013020332200
524003123030330
61323445142024
7150601056655
oct31407107640
98748582347
103424423840
1114a7aa8352
127b69ba914
134275c79c6
14246b27c2c
1515097e17a
hexcc1c8fa0

3424423840 has 96 divisors (see below), whose sum is σ = 8202902400. Its totient is φ = 1350835200.

The previous prime is 3424423831. The next prime is 3424423841. The reversal of 3424423840 is 483244243.

It is a junction number, because it is equal to n+sod(n) for n = 3424423796 and 3424423805.

It is not an unprimeable number, because it can be changed into a prime (3424423841) 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, 4170630 + ... + 4171450.

It is an arithmetic number, because the mean of its divisors is an integer number (85446900).

Almost surely, 23424423840 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 3424423840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4101451200).

3424423840 is an abundant number, since it is smaller than the sum of its proper divisors (4778478560).

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

3424423840 is a wasteful number, since it uses less digits than its factorization.

3424423840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

The square root of 3424423840 is about 58518.5768794833. The cubic root of 3424423840 is about 1507.2865967272.

The spelling of 3424423840 in words is "three billion, four hundred twenty-four million, four hundred twenty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 131 160 199 262 398 524 655 796 821 995 1048 1310 1592 1642 1990 2096 2620 3184 3284 3980 4105 4192 5240 6368 6568 7960 8210 10480 13136 15920 16420 20960 26069 26272 31840 32840 52138 65680 104276 107551 130345 131360 163379 208552 215102 260690 326758 417104 430204 521380 537755 653516 816895 834208 860408 1042760 1075510 1307032 1633790 1720816 2085520 2151020 2614064 3267580 3441632 4171040 4302040 5228128 6535160 8604080 13070320 17208160 21402649 26140640 42805298 85610596 107013245 171221192 214026490 342442384 428052980 684884768 856105960 1712211920 3424423840