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3384039870 = 23652916007
BaseRepresentation
bin1100100110110100…
…0101100110111110
322201211200001000000
43021231011212332
523412303233440
61315443415130
7146600602311
oct31155054676
98654601000
103384039870
111487225272
127a53844a6
1341c128473
14241614978
1514c153730
hexc9b459be

3384039870 has 112 divisors (see below), whose sum is σ = 9448241760. Its totient is φ = 871238592.

The previous prime is 3384039863. The next prime is 3384039917. The reversal of 3384039870 is 789304833.

It is a happy number.

It is a super-2 number, since 2×33840398702 = 22903451683499233800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 203407 + ... + 219413.

Almost surely, 23384039870 is an apocalyptic number.

3384039870 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3384039870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4724120880).

3384039870 is an abundant number, since it is smaller than the sum of its proper divisors (6064201890).

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

3384039870 is a wasteful number, since it uses less digits than its factorization.

3384039870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16061 (or 16046 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3384039870 is about 58172.5009776956. The cubic root of 3384039870 is about 1501.3380460669.

The spelling of 3384039870 in words is "three billion, three hundred eighty-four million, thirty-nine thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 81 87 90 135 145 162 174 243 261 270 290 405 435 486 522 729 783 810 870 1215 1305 1458 1566 2349 2430 2610 3645 3915 4698 7047 7290 7830 11745 14094 16007 21141 23490 32014 35235 42282 48021 70470 80035 96042 105705 144063 160070 211410 240105 288126 432189 464203 480210 720315 864378 928406 1296567 1392609 1440630 2160945 2321015 2593134 2785218 3889701 4177827 4321890 4642030 6482835 6963045 7779402 8355654 11669103 12533481 12965670 13926090 19448505 20889135 23338206 25066962 37600443 38897010 41778270 58345515 62667405 75200886 112801329 116691030 125334810 188002215 225602658 338403987 376004430 564006645 676807974 1128013290 1692019935 3384039870