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3401041312 = 25435941893
BaseRepresentation
bin1100101010110111…
…1100010110100000
322210000122210121001
43022231330112200
523431131310222
61321252041344
7150165242224
oct31255742640
98700583531
103401041312
111495887749
127ab003254
134227cbaa6
1424399c784
1514d8b0e27
hexcab7c5a0

3401041312 has 48 divisors (see below), whose sum is σ = 6967810080. Its totient is φ = 1632782592.

The previous prime is 3401041291. The next prime is 3401041313. The reversal of 3401041312 is 2131401043.

3401041312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3401041312.

It is not an unprimeable number, because it can be changed into a prime (3401041313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60238 + ... + 102130.

It is an arithmetic number, because the mean of its divisors is an integer number (145162710).

Almost surely, 23401041312 is an apocalyptic number.

3401041312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3401041312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3483905040).

3401041312 is an abundant number, since it is smaller than the sum of its proper divisors (3566768768).

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

3401041312 is a wasteful number, since it uses less digits than its factorization.

3401041312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42005 (or 41997 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 3401041312 is about 58318.4474416115. The cubic root of 3401041312 is about 1503.8480918326.

Adding to 3401041312 its reverse (2131401043), we get a palindrome (5532442355).

The spelling of 3401041312 in words is "three billion, four hundred one million, forty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 43 59 86 118 172 236 344 472 688 944 1376 1888 2537 5074 10148 20296 40592 41893 81184 83786 167572 335144 670288 1340576 1801399 2471687 3602798 4943374 7205596 9886748 14411192 19773496 28822384 39546992 57644768 79093984 106282541 212565082 425130164 850260328 1700520656 3401041312