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3432113020 = 225771487709
BaseRepresentation
bin1100110010010001…
…1110001101111100
322212012010101222001
43030210132031330
524012110104040
61324322032044
7151023323260
oct31444361574
98765111861
103432113020
11150137a346
127b94a8624
1342908a80b
14247b6a0a0
1515149c59a
hexcc91e37c

3432113020 has 96 divisors (see below), whose sum is σ = 8382044160. Its totient is φ = 1156135680.

The previous prime is 3432113011. The next prime is 3432113039. The reversal of 3432113020 is 203112343.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4840426 + ... + 4841134.

It is an arithmetic number, because the mean of its divisors is an integer number (87312960).

Almost surely, 23432113020 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 3432113020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4191022080).

3432113020 is an abundant number, since it is smaller than the sum of its proper divisors (4949931140).

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

3432113020 is a wasteful number, since it uses less digits than its factorization.

3432113020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 3432113020 is about 58584.2386653612. The cubic root of 3432113020 is about 1508.4139040492.

Adding to 3432113020 its reverse (203112343), we get a palindrome (3635225363).

The spelling of 3432113020 in words is "three billion, four hundred thirty-two million, one hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 71 140 142 284 355 487 497 709 710 974 994 1418 1420 1948 1988 2435 2485 2836 3409 3545 4870 4963 4970 6818 7090 9740 9926 9940 13636 14180 17045 19852 24815 34090 34577 49630 50339 68180 69154 99260 100678 138308 172885 201356 242039 251695 345283 345770 352373 484078 503390 690566 691540 704746 968156 1006780 1210195 1381132 1409492 1726415 1761865 2416981 2420390 3452830 3523730 4833962 4840780 6905660 7047460 9667924 12084905 24169810 24515093 48339620 49030186 98060372 122575465 171605651 245150930 343211302 490301860 686422604 858028255 1716056510 3432113020