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3394843140 = 22351312593457
BaseRepresentation
bin1100101001011001…
…0011001000000100
322202120222220022010
43022112103020010
523423034440030
61320511134220
7150061455603
oct31226231004
98676886263
103394843140
111492333997
127a8b14370
1342143b830
14242c27a3a
1514d0896b0
hexca593204

3394843140 has 96 divisors (see below), whose sum is σ = 10247852160. Its totient is φ = 834748416.

The previous prime is 3394843099. The next prime is 3394843157. The reversal of 3394843140 is 413484933.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 980292 + ... + 983748.

It is an arithmetic number, because the mean of its divisors is an integer number (106748460).

Almost surely, 23394843140 is an apocalyptic number.

3394843140 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 3394843140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5123926080).

3394843140 is an abundant number, since it is smaller than the sum of its proper divisors (6853009020).

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

3394843140 is a wasteful number, since it uses less digits than its factorization.

3394843140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4741 (or 4739 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 3394843140 is about 58265.2824587678. The cubic root of 3394843140 is about 1502.9339818697.

The spelling of 3394843140 in words is "three billion, three hundred ninety-four million, eight hundred forty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1259 2518 3457 3777 5036 6295 6914 7554 10371 12590 13828 15108 16367 17285 18885 20742 25180 32734 34570 37770 41484 44941 49101 51855 65468 69140 75540 81835 89882 98202 103710 134823 163670 179764 196404 207420 224705 245505 269646 327340 449410 491010 539292 674115 898820 982020 1348230 2696460 4352363 8704726 13057089 17409452 21761815 26114178 43523630 52228356 56580719 65285445 87047260 113161438 130570890 169742157 226322876 261141780 282903595 339484314 565807190 678968628 848710785 1131614380 1697421570 3394843140