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3433537968 = 243713973517
BaseRepresentation
bin1100110010100111…
…1010000110110000
322212021210210121220
43030221322012300
524012441203333
61324412345040
7151041406530
oct31451720660
98767723556
103433537968
111502162993
127b9a75180
13429469293
1424801b4c0
1515167e8b3
hexcca7a1b0

3433537968 has 80 divisors (see below), whose sum is σ = 10210179840. Its totient is φ = 973939968.

The previous prime is 3433537967. The next prime is 3433537979. The reversal of 3433537968 is 8697353343.

It is a self number, because there is not a number n which added to its sum of digits gives 3433537968.

It is not an unprimeable number, because it can be changed into a prime (3433537967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9946 + ... + 83462.

It is an arithmetic number, because the mean of its divisors is an integer number (127627248).

Almost surely, 23433537968 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 3433537968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5105089920).

3433537968 is an abundant number, since it is smaller than the sum of its proper divisors (6776641872).

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

3433537968 is a wasteful number, since it uses less digits than its factorization.

3433537968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73674 (or 73668 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 51.

The square root of 3433537968 is about 58596.3989337229. The cubic root of 3433537968 is about 1508.6226300795.

The spelling of 3433537968 in words is "three billion, four hundred thirty-three million, five hundred thirty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 139 168 278 336 417 556 834 973 1112 1668 1946 2224 2919 3336 3892 5838 6672 7784 11676 15568 23352 46704 73517 147034 220551 294068 441102 514619 588136 882204 1029238 1176272 1543857 1764408 2058476 3087714 3528816 4116952 6175428 8233904 10218863 12350856 20437726 24701712 30656589 40875452 61313178 71532041 81750904 122626356 143064082 163501808 214596123 245252712 286128164 429192246 490505424 572256328 858384492 1144512656 1716768984 3433537968