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3423660024 = 2333759101647
BaseRepresentation
bin1100110000010000…
…1110011111111000
322211121012221122010
43030010032133320
524002424110044
61323420525520
7150561426051
oct31404163770
98747187563
103423660024
1114a76264a4
127b66b08a0
134273bb145
142469a9728
1515087cbb9
hexcc10e7f8

3423660024 has 128 divisors (see below), whose sum is σ = 9041932800. Its totient is φ = 1079078400.

The previous prime is 3423660017. The next prime is 3423660049. The reversal of 3423660024 is 4200663243.

It is a happy number.

3423660024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3423659973 and 3423660000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5291269 + ... + 5291915.

It is an arithmetic number, because the mean of its divisors is an integer number (70640100).

Almost surely, 23423660024 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 3423660024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4520966400).

3423660024 is an abundant number, since it is smaller than the sum of its proper divisors (5618272776).

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

3423660024 is a wasteful number, since it uses less digits than its factorization.

3423660024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 3423660024 is about 58512.0502460818. The cubic root of 3423660024 is about 1507.1745218905.

The spelling of 3423660024 in words is "three billion, four hundred twenty-three million, six hundred sixty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 37 59 74 101 111 118 148 177 202 222 236 296 303 354 404 444 472 606 647 708 808 888 1212 1294 1416 1941 2183 2424 2588 3737 3882 4366 5176 5959 6549 7474 7764 8732 11211 11918 13098 14948 15528 17464 17877 22422 23836 23939 26196 29896 35754 38173 44844 47672 47878 52392 65347 71508 71817 76346 89688 95756 114519 130694 143016 143634 152692 191512 196041 220483 229038 261388 287268 305384 392082 440966 458076 522776 574536 661449 784164 881932 916152 1322898 1412401 1568328 1763864 2417839 2645796 2824802 3855473 4237203 4835678 5291592 5649604 7253517 7710946 8474406 9671356 11299208 11566419 14507034 15421892 16948812 19342712 23132838 29014068 30843784 33897624 46265676 58028136 92531352 142652501 285305002 427957503 570610004 855915006 1141220008 1711830012 3423660024