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3448349046 = 2323159104743
BaseRepresentation
bin1100110110001001…
…1010000101110110
322220022200021121100
43031202122011312
524030234132141
61330102030530
7151311324522
oct31542320566
98808607540
103448349046
11150a55974a
12802a18446
1342c55392c
14249d94d82
15152b080b6
hexcd89a176

3448349046 has 48 divisors (see below), whose sum is σ = 7843230720. Its totient is φ = 1093506480.

The previous prime is 3448349033. The next prime is 3448349101. The reversal of 3448349046 is 6409438443.

It is a happy number.

3448349046 is a `hidden beast` number, since 3 + 44 + 83 + 490 + 46 = 666.

3448349046 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×34483490462 = 23782222286098220232, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3448348992 and 3448349010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19450 + ... + 85293.

It is an arithmetic number, because the mean of its divisors is an integer number (163400640).

Almost surely, 23448349046 is an apocalyptic number.

3448349046 is an abundant number, since it is smaller than the sum of its proper divisors (4394881674).

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

3448349046 is a wasteful number, since it uses less digits than its factorization.

3448349046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104841 (or 104838 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The square root of 3448349046 is about 58722.6450868828. The cubic root of 3448349046 is about 1510.7887413327.

The spelling of 3448349046 in words is "three billion, four hundred forty-eight million, three hundred forty-nine thousand, forty-six".

Divisors: 1 2 3 6 9 18 31 59 62 93 118 177 186 279 354 531 558 1062 1829 3658 5487 10974 16461 32922 104743 209486 314229 628458 942687 1885374 3247033 6179837 6494066 9741099 12359674 18539511 19482198 29223297 37079022 55618533 58446594 111237066 191574947 383149894 574724841 1149449682 1724174523 3448349046