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3387085080 = 2335374716231
BaseRepresentation
bin1100100111100010…
…1101000100011000
322202001101202020120
43021320231010120
523414043210310
61320032553240
7146635514421
oct31170550430
98661352216
103387085080
111488a15175
127a63b2820
1341c953572
14241ba8648
1514c555b70
hexc9e2d118

3387085080 has 128 divisors (see below), whose sum is σ = 10658580480. Its totient is φ = 860060160.

The previous prime is 3387085057. The next prime is 3387085081. The reversal of 3387085080 is 805807833.

It is a super-2 number, since 2×33870850802 = 22944690678317212800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3387085081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200565 + ... + 216795.

It is an arithmetic number, because the mean of its divisors is an integer number (83270160).

Almost surely, 23387085080 is an apocalyptic number.

3387085080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3387085080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5329290240).

3387085080 is an abundant number, since it is smaller than the sum of its proper divisors (7271495400).

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

3387085080 is a wasteful number, since it uses less digits than its factorization.

3387085080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16329 (or 16325 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 3387085080 is about 58198.6690569467. The cubic root of 3387085080 is about 1501.7882494842.

The spelling of 3387085080 in words is "three billion, three hundred eighty-seven million, eighty-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 47 60 74 94 111 120 141 148 185 188 222 235 282 296 370 376 444 470 555 564 705 740 888 940 1110 1128 1410 1480 1739 1880 2220 2820 3478 4440 5217 5640 6956 8695 10434 13912 16231 17390 20868 26085 32462 34780 41736 48693 52170 64924 69560 81155 97386 104340 129848 162310 194772 208680 243465 324620 389544 486930 600547 649240 762857 973860 1201094 1525714 1801641 1947720 2288571 2402188 3002735 3051428 3603282 3814285 4577142 4804376 6005470 6102856 7206564 7628570 9008205 9154284 11442855 12010940 14413128 15257140 18016410 18308568 22885710 24021880 28225709 30514280 36032820 45771420 56451418 72065640 84677127 91542840 112902836 141128545 169354254 225805672 282257090 338708508 423385635 564514180 677417016 846771270 1129028360 1693542540 3387085080