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3395728308 = 22371710323087
BaseRepresentation
bin1100101001100110…
…1011001110110100
322202122122212112010
43022121223032310
523423301301213
61320542124220
7150102133350
oct31231531664
98678585463
103395728308
111492888a35
127a9280670
1342168b6bb
14242db8460
1514d1b1ac3
hexca66b3b4

3395728308 has 96 divisors (see below), whose sum is σ = 9681444864. Its totient is φ = 904232448.

The previous prime is 3395728283. The next prime is 3395728321. The reversal of 3395728308 is 8038275933.

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, 135541 + ... + 158627.

It is an arithmetic number, because the mean of its divisors is an integer number (100848384).

Almost surely, 23395728308 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 3395728308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4840722432).

3395728308 is an abundant number, since it is smaller than the sum of its proper divisors (6285716556).

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

3395728308 is a wasteful number, since it uses less digits than its factorization.

3395728308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23221 (or 23219 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 3395728308 is about 58272.8779793825. The cubic root of 3395728308 is about 1503.0645950187.

The spelling of 3395728308 in words is "three billion, three hundred ninety-five million, seven hundred twenty-eight thousand, three hundred eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 103 119 204 206 238 309 357 412 476 618 714 721 1236 1428 1442 1751 2163 2884 3502 4326 5253 7004 8652 10506 12257 21012 23087 24514 36771 46174 49028 69261 73542 92348 138522 147084 161609 277044 323218 392479 484827 646436 784958 969654 1177437 1569916 1939308 2354874 2377961 2747353 4709748 4755922 5494706 7133883 8242059 9511844 10989412 14267766 16484118 16645727 28535532 32968236 33291454 40425337 49937181 66582908 80850674 99874362 121276011 161701348 199748724 242552022 282977359 485104044 565954718 848932077 1131909436 1697864154 3395728308