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3412021120 = 2758776079
BaseRepresentation
bin1100101101011111…
…0100111110000000
322210210022122001121
43023113310332000
523441434133440
61322323242024
7150360462304
oct31327647600
98723278047
103412021120
1114a0aa6a72
127b2819314
13424b74611
14245219d04
1514e82e34a
hexcb5f4f80

3412021120 has 64 divisors (see below), whose sum is σ = 8167507200. Its totient is φ = 1363027968.

The previous prime is 3412021117. The next prime is 3412021133. The reversal of 3412021120 is 211202143.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 3412021094 and 3412021103.

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 7 ways as a sum of consecutive naturals, for example, 558241 + ... + 564319.

It is an arithmetic number, because the mean of its divisors is an integer number (127617300).

Almost surely, 23412021120 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 3412021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4083753600).

3412021120 is an abundant number, since it is smaller than the sum of its proper divisors (4755486080).

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

3412021120 is an equidigital number, since it uses as much as digits as its factorization.

3412021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6975 (or 6963 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 3412021120 is about 58412.5082495179. The cubic root of 3412021120 is about 1505.4646777256.

Adding to 3412021120 its reverse (211202143), we get a palindrome (3623223263).

The spelling of 3412021120 in words is "three billion, four hundred twelve million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 877 1754 3508 4385 6079 7016 8770 12158 14032 17540 24316 28064 30395 35080 48632 56128 60790 70160 97264 112256 121580 140320 194528 243160 280640 389056 486320 561280 778112 972640 1945280 3890560 5331283 10662566 21325132 26656415 42650264 53312830 85300528 106625660 170601056 213251320 341202112 426502640 682404224 853005280 1706010560 3412021120