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3452421344 = 2559792293
BaseRepresentation
bin1100110111000111…
…1100010011100000
322220121100011202012
43031301330103200
524032304440334
61330325212052
7151361045231
oct31561742340
98817304665
103452421344
111511890289
12804261028
1343034b388
1424a735088
1515315e9ce
hexcdc7c4e0

3452421344 has 72 divisors (see below), whose sum is σ = 7024653720. Its totient is φ = 1669754112.

The previous prime is 3452421341. The next prime is 3452421397. The reversal of 3452421344 is 4431242543.

3452421344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 3452421344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3452421341) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11782862 + ... + 11783154.

It is an arithmetic number, because the mean of its divisors is an integer number (97564635).

Almost surely, 23452421344 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 3452421344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3512326860).

3452421344 is an abundant number, since it is smaller than the sum of its proper divisors (3572232376).

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

3452421344 is an equidigital number, since it uses as much as digits as its factorization.

3452421344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 433 counting only the distinct ones).

The product of its digits is 46080, while the sum is 32.

The square root of 3452421344 is about 58757.3088560053. The cubic root of 3452421344 is about 1511.3832250124.

Adding to 3452421344 its reverse (4431242543), we get a palindrome (7883663887).

The spelling of 3452421344 in words is "three billion, four hundred fifty-two million, four hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 59 79 118 158 236 293 316 472 586 632 944 1172 1264 1888 2344 2528 4661 4688 6241 9322 9376 12482 17287 18644 23147 24964 34574 37288 46294 49928 69148 74576 92588 99856 138296 149152 185176 199712 276592 368219 370352 553184 736438 740704 1365673 1472876 1828613 2731346 2945752 3657226 5462692 5891504 7314452 10925384 11783008 14628904 21850768 29257808 43701536 58515616 107888167 215776334 431552668 863105336 1726210672 3452421344