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3420443400 = 2335211518249
BaseRepresentation
bin1100101111011111…
…1101001100001000
322211101011112020220
43023313331030020
524001113142100
61323223550040
7150522201123
oct31367751410
98741145226
103420443400
1114a5829830
127b55bb320
1342683300a
142463ad3ba
15150444aa0
hexcbdfd308

3420443400 has 96 divisors (see below), whose sum is σ = 11567340000. Its totient is φ = 829196800.

The previous prime is 3420443387. The next prime is 3420443417. The reversal of 3420443400 is 43440243.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252525 + ... + 265724.

It is an arithmetic number, because the mean of its divisors is an integer number (120493125).

Almost surely, 23420443400 is an apocalyptic number.

3420443400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3420443400 is an abundant number, since it is smaller than the sum of its proper divisors (8146896600).

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

3420443400 is a wasteful number, since it uses less digits than its factorization.

3420443400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518279 (or 518270 counting only the distinct ones).

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

The square root of 3420443400 is about 58484.5569359981. The cubic root of 3420443400 is about 1506.7023631695.

Adding to 3420443400 its reverse (43440243), we get a palindrome (3463883643).

The spelling of 3420443400 in words is "three billion, four hundred twenty million, four hundred forty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 518249 1036498 1554747 2072996 2591245 3109494 4145992 5182490 5700739 6218988 7773735 10364980 11401478 12437976 12956225 15547470 17102217 20729960 22802956 25912450 28503695 31094940 34204434 38868675 45605912 51824900 57007390 62189880 68408868 77737350 85511085 103649800 114014780 136817736 142518475 155474700 171022170 228029560 285036950 310949400 342044340 427555425 570073900 684088680 855110850 1140147800 1710221700 3420443400