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3442412144 = 241715780611
BaseRepresentation
bin1100110100101111…
…0000101001110000
322212220111122201002
43031023300221300
524022224142034
61325330501132
7151210010003
oct31513605160
98786448632
103442412144
111507174216
12800a347a8
1342b255582
1424928b53a
15152333e7e
hexcd2f0a70

3442412144 has 40 divisors (see below), whose sum is σ = 7107076368. Its totient is φ = 1609620480.

The previous prime is 3442412119. The next prime is 3442412147. The reversal of 3442412144 is 4412142443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3442412147) 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, 2399 + ... + 83009.

Almost surely, 23442412144 is an apocalyptic number.

3442412144 is a gapful number since it is divisible by the number (34) 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 3442412144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3553538184).

3442412144 is an abundant number, since it is smaller than the sum of its proper divisors (3664664224).

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

3442412144 is a wasteful number, since it uses less digits than its factorization.

3442412144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80793 (or 80787 counting only the distinct ones).

The product of its digits is 12288, while the sum is 29.

The square root of 3442412144 is about 58672.0729478685. The cubic root of 3442412144 is about 1509.9212192280.

Adding to 3442412144 its reverse (4412142443), we get a palindrome (7854554587).

The spelling of 3442412144 in words is "three billion, four hundred forty-two million, four hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 34 68 136 157 272 314 628 1256 2512 2669 5338 10676 21352 42704 80611 161222 322444 644888 1289776 1370387 2740774 5481548 10963096 12655927 21926192 25311854 50623708 101247416 202494832 215150759 430301518 860603036 1721206072 3442412144