Search a number
-
+
3394234240 = 27529434253
BaseRepresentation
bin1100101001001111…
…1110011110000000
322202112211222001021
43022103332132000
523422410443430
61320450115224
7150053341435
oct31223763600
98675758037
103394234240
111491a58471
127a887bb14
13421287637
14242b09b8c
1514ceb907a
hexca4fe780

3394234240 has 128 divisors (see below), whose sum is σ = 8591378400. Its totient is φ = 1280090112.

The previous prime is 3394234231. The next prime is 3394234243. The reversal of 3394234240 is 424324933.

3394234240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 3394234196 and 3394234205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3394234243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 795954 + ... + 800206.

Almost surely, 23394234240 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 3394234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4295689200).

3394234240 is an abundant number, since it is smaller than the sum of its proper divisors (5197144160).

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

3394234240 is a wasteful number, since it uses less digits than its factorization.

3394234240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4344 (or 4332 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 34.

The square root of 3394234240 is about 58260.0569858973. The cubic root of 3394234240 is about 1502.8441209461.

The spelling of 3394234240 in words is "three billion, three hundred ninety-four million, two hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 43 58 64 80 86 116 128 145 160 172 215 232 290 320 344 430 464 580 640 688 860 928 1160 1247 1376 1720 1856 2320 2494 2752 3440 3712 4253 4640 4988 5504 6235 6880 8506 9280 9976 12470 13760 17012 18560 19952 21265 24940 27520 34024 39904 42530 49880 68048 79808 85060 99760 123337 136096 159616 170120 182879 199520 246674 272192 340240 365758 399040 493348 544384 616685 680480 731516 798080 914395 986696 1233370 1360960 1463032 1828790 1973392 2466740 2721920 2926064 3657580 3946784 4933480 5303491 5852128 7315160 7893568 9866960 10606982 11704256 14630320 15787136 19733920 21213964 23408512 26517455 29260640 39467840 42427928 53034910 58521280 78935680 84855856 106069820 117042560 169711712 212139640 339423424 424279280 678846848 848558560 1697117120 3394234240