Search a number
-
+
3344432340 = 2235119346723
BaseRepresentation
bin1100011101010111…
…1111110011010100
322122002010202200110
43013111333303110
523322133313330
61311510443020
7145610130414
oct30725776324
98562122613
103344432340
111466932577
12794063470
13413b6b462
1423a264644
1514892cdb0
hexc757fcd4

3344432340 has 48 divisors (see below), whose sum is σ = 9372460608. Its totient is φ = 891081984.

The previous prime is 3344432309. The next prime is 3344432359. The reversal of 3344432340 is 432344433.

It is a super-2 number, since 2×33444323402 = 22370455353675751200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3344432298 and 3344432307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48219 + ... + 94941.

It is an arithmetic number, because the mean of its divisors is an integer number (195259596).

Almost surely, 23344432340 is an apocalyptic number.

3344432340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3344432340 is an abundant number, since it is smaller than the sum of its proper divisors (6028028268).

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

3344432340 is a wasteful number, since it uses less digits than its factorization.

3344432340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47928 (or 47926 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 30.

The square root of 3344432340 is about 57831.0672562767. The cubic root of 3344432340 is about 1495.4577167706.

Adding to 3344432340 its reverse (432344433), we get a palindrome (3776776773).

The spelling of 3344432340 in words is "three billion, three hundred forty-four million, four hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1193 2386 3579 4772 5965 7158 11930 14316 17895 23860 35790 46723 71580 93446 140169 186892 233615 280338 467230 560676 700845 934460 1401690 2803380 55740539 111481078 167221617 222962156 278702695 334443234 557405390 668886468 836108085 1114810780 1672216170 3344432340