Search a number
-
+
3434549844 = 22311731013529
BaseRepresentation
bin1100110010110111…
…0001001001010100
322212100201012122210
43030231301021110
524013221043334
61324450153420
7151053122565
oct31455611124
98770635583
103434549844
111502794150
127ba282870
13429731a1b
1424820216c
151517ce5e9
hexccb71254

3434549844 has 96 divisors (see below), whose sum is σ = 8952531840. Its totient is φ = 1016064000.

The previous prime is 3434549821. The next prime is 3434549849. The reversal of 3434549844 is 4489454343.

It is a super-2 number, since 2×34345498442 = 23592265261840848672, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3434549793 and 3434549802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434549849) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 971472 + ... + 975000.

It is an arithmetic number, because the mean of its divisors is an integer number (93255540).

Almost surely, 23434549844 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 3434549844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4476265920).

3434549844 is an abundant number, since it is smaller than the sum of its proper divisors (5517981996).

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

3434549844 is a wasteful number, since it uses less digits than its factorization.

3434549844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3721 (or 3719 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 48.

The square root of 3434549844 is about 58605.0325825351. The cubic root of 3434549844 is about 1508.7708143637.

The spelling of 3434549844 in words is "three billion, four hundred thirty-four million, five hundred forty-nine thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 73 101 132 146 202 219 292 303 404 438 606 803 876 1111 1212 1606 2222 2409 3212 3333 3529 4444 4818 6666 7058 7373 9636 10587 13332 14116 14746 21174 22119 29492 38819 42348 44238 77638 81103 88476 116457 155276 162206 232914 243309 257617 324412 356429 465828 486618 515234 712858 772851 973236 1030468 1069287 1425716 1545702 2138574 2833787 3091404 3920719 4277148 5667574 7841438 8501361 11335148 11762157 15682876 17002722 23524314 26019317 34005444 47048628 52038634 78057951 104077268 156115902 286212487 312231804 572424974 858637461 1144849948 1717274922 3434549844