Search a number
-
+
3420364400 = 245229294859
BaseRepresentation
bin1100101111011110…
…1001111001110000
322211101000111212222
43023313221321300
524001103130100
61323222140212
7150521421605
oct31367517160
98741014788
103420364400
1114a5785442
127b5581668
1342680607b
1424638c6ac
1515042b485
hexcbde9e70

3420364400 has 60 divisors (see below), whose sum is σ = 8500813800. Its totient is φ = 1320963840.

The previous prime is 3420364393. The next prime is 3420364403. The reversal of 3420364400 is 44630243.

It is a self number, because there is not a number n which added to its sum of digits gives 3420364400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3420364403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135830 + ... + 159029.

It is an arithmetic number, because the mean of its divisors is an integer number (141680230).

Almost surely, 23420364400 is an apocalyptic number.

It is an amenable number.

3420364400 is an abundant number, since it is smaller than the sum of its proper divisors (5080449400).

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

3420364400 is a wasteful number, since it uses less digits than its factorization.

3420364400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294906 (or 294895 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

The square root of 3420364400 is about 58483.8815401304. The cubic root of 3420364400 is about 1506.6907632696.

Adding to 3420364400 its reverse (44630243), we get a palindrome (3464994643).

The spelling of 3420364400 in words is "three billion, four hundred twenty million, three hundred sixty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 145 200 232 290 400 464 580 725 1160 1450 2320 2900 5800 11600 294859 589718 1179436 1474295 2358872 2948590 4717744 5897180 7371475 8550911 11794360 14742950 17101822 23588720 29485900 34203644 42754555 58971800 68407288 85509110 117943600 136814576 171018220 213772775 342036440 427545550 684072880 855091100 1710182200 3420364400