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4015345230 = 2335134092797
BaseRepresentation
bin1110111101010101…
…0100111001001110
3101100211120200011000
43233111110321032
531210412021410
61502234441130
7201334604601
oct35725247116
911324520130
104015345230
111780615336
129408931a6
134bcb65230
142a13ca338
151877a6dc0
hexef554e4e

4015345230 has 128 divisors (see below), whose sum is σ = 11563574400. Its totient is φ = 985623552.

The previous prime is 4015345171. The next prime is 4015345247. The reversal of 4015345230 is 325435104.

It is a super-2 number, since 2×40153452302 = 32245994632167505800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4015345194 and 4015345203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1434192 + ... + 1436988.

It is an arithmetic number, because the mean of its divisors is an integer number (90340425).

Almost surely, 24015345230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4015345230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5781787200).

4015345230 is an abundant number, since it is smaller than the sum of its proper divisors (7548229170).

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

4015345230 is a wasteful number, since it uses less digits than its factorization.

4015345230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3235 (or 3229 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 4015345230 is about 63366.7517709406. The cubic root of 4015345230 is about 1589.4283812084.

The spelling of 4015345230 in words is "four billion, fifteen million, three hundred forty-five thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 409 585 702 818 1170 1227 1755 2045 2454 2797 3510 3681 4090 5317 5594 6135 7362 8391 10634 11043 12270 13985 15951 16782 18405 22086 25173 26585 27970 31902 36361 36810 41955 47853 50346 53170 55215 72722 75519 79755 83910 95706 109083 110430 125865 143559 151038 159510 181805 218166 239265 251730 287118 327249 363610 377595 478530 545415 654498 717795 755190 981747 1090830 1143973 1435590 1636245 1963494 2287946 3272490 3431919 4908735 5719865 6863838 9817470 10295757 11439730 14871649 17159595 20591514 29743298 30887271 34319190 44614947 51478785 61774542 74358245 89229894 102957570 133844841 148716490 154436355 223074735 267689682 308872710 401534523 446149470 669224205 803069046 1338448410 2007672615 4015345230