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3421412000 = 25534718199
BaseRepresentation
bin1100101111101110…
…1001101010100000
322211102222201220222
43023323221222200
524001340141000
61323300422212
7150533344046
oct31373515240
98742881828
103421412000
1114a6330526
127b59a7968
13426ab1b56
14246582396
15150586a85
hexcbee9aa0

3421412000 has 96 divisors (see below), whose sum is σ = 8585740800. Its totient is φ = 1339372800.

The previous prime is 3421411969. The next prime is 3421412021. The reversal of 3421412000 is 2141243.

It is a self number, because there is not a number n which added to its sum of digits gives 3421412000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178901 + ... + 197099.

It is an arithmetic number, because the mean of its divisors is an integer number (89434800).

Almost surely, 23421412000 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 3421412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4292870400).

3421412000 is an abundant number, since it is smaller than the sum of its proper divisors (5164328800).

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

3421412000 is a wasteful number, since it uses less digits than its factorization.

3421412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18271 (or 18253 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 3421412000 is about 58492.8371683234. The cubic root of 3421412000 is about 1506.8445722346.

Adding to 3421412000 its reverse (2141243), we get a palindrome (3423553243).

The spelling of 3421412000 in words is "three billion, four hundred twenty-one million, four hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 80 94 100 125 160 188 200 235 250 376 400 470 500 752 800 940 1000 1175 1504 1880 2000 2350 3760 4000 4700 5875 7520 9400 11750 18199 18800 23500 36398 37600 47000 72796 90995 94000 145592 181990 188000 291184 363980 454975 582368 727960 855353 909950 1455920 1710706 1819900 2274875 2911840 3421412 3639800 4276765 4549750 6842824 7279600 8553530 9099500 13685648 14559200 17107060 18199000 21383825 27371296 34214120 36398000 42767650 68428240 72796000 85535300 106919125 136856480 171070600 213838250 342141200 427676500 684282400 855353000 1710706000 3421412000