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3428872160 = 255710932801
BaseRepresentation
bin1100110001100000…
…0110111111100000
322211222000202100012
43030120012333200
524010242402120
61324124344052
7150653634560
oct31430067740
98758022305
103428872160
1114aa56644a
127b83a5028
134284c464c
14247564da0
1515105c1c5
hexcc606fe0

3428872160 has 96 divisors (see below), whose sum is σ = 9269733312. Its totient is φ = 1174118400.

The previous prime is 3428872157. The next prime is 3428872193. The reversal of 3428872160 is 612788243.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1222760 + ... + 1225560.

It is an arithmetic number, because the mean of its divisors is an integer number (96559722).

Almost surely, 23428872160 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 3428872160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4634866656).

3428872160 is an abundant number, since it is smaller than the sum of its proper divisors (5840861152).

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

3428872160 is a wasteful number, since it uses less digits than its factorization.

3428872160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3916 (or 3908 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The square root of 3428872160 is about 58556.5723040548. The cubic root of 3428872160 is about 1507.9389684648.

The spelling of 3428872160 in words is "three billion, four hundred twenty-eight million, eight hundred seventy-two thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1093 1120 2186 2801 4372 5465 5602 7651 8744 10930 11204 14005 15302 17488 19607 21860 22408 28010 30604 34976 38255 39214 43720 44816 56020 61208 76510 78428 87440 89632 98035 112040 122416 153020 156856 174880 196070 224080 244832 306040 313712 392140 448160 612080 627424 784280 1224160 1568560 3061493 3137120 6122986 12245972 15307465 21430451 24491944 30614930 42860902 48983888 61229860 85721804 97967776 107152255 122459720 171443608 214304510 244919440 342887216 428609020 489838880 685774432 857218040 1714436080 3428872160