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4334062980 = 22351322324917
BaseRepresentation
bin1000000100101010…
…01000110110000100
3102012001022012201010
410002111020312010
532334010003410
61554022002220
7212254633062
oct40225106604
912161265633
104334062980
111924513735
12a0b576370
13540bb7910
142d1873032
151a5761c20
hex102548d84

4334062980 has 96 divisors (see below), whose sum is σ = 13127998464. Its totient is φ = 1062019584.

The previous prime is 4334062949. The next prime is 4334063017. The reversal of 4334062980 is 892604334.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161482 + ... + 186398.

It is an arithmetic number, because the mean of its divisors is an integer number (136749984).

Almost surely, 24334062980 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 4334062980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6563999232).

4334062980 is an abundant number, since it is smaller than the sum of its proper divisors (8793935484).

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

4334062980 is a wasteful number, since it uses less digits than its factorization.

4334062980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25165 (or 25163 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 4334062980 is about 65833.6006914402. The cubic root of 4334062980 is about 1630.4159150426.

The spelling of 4334062980 in words is "four billion, three hundred thirty-four million, sixty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 223 260 390 446 669 780 892 1115 1338 2230 2676 2899 3345 4460 5798 6690 8697 11596 13380 14495 17394 24917 28990 34788 43485 49834 57980 74751 86970 99668 124585 149502 173940 249170 299004 323921 373755 498340 647842 747510 971763 1295684 1495020 1619605 1943526 3239210 3887052 4858815 5556491 6478420 9717630 11112982 16669473 19435260 22225964 27782455 33338946 55564910 66677892 72234383 83347365 111129820 144468766 166694730 216703149 288937532 333389460 361171915 433406298 722343830 866812596 1083515745 1444687660 2167031490 4334062980