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3390234040 = 235232533023
BaseRepresentation
bin1100101000010010…
…1101110110111000
322202021022201210201
43022010231312320
523420344442130
61320224251544
7150004341154
oct31204556670
98667281721
103390234040
11148a776016
127a7470bb4
134204b695b
14242388064
1514c978bca
hexca12ddb8

3390234040 has 96 divisors (see below), whose sum is σ = 8127241920. Its totient is φ = 1272237824.

The previous prime is 3390234037. The next prime is 3390234077. The reversal of 3390234040 is 404320933.

3390234040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33902340402 = 22987373691949443200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1119969 + ... + 1122991.

It is an arithmetic number, because the mean of its divisors is an integer number (84658770).

Almost surely, 23390234040 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 3390234040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4063620960).

3390234040 is an abundant number, since it is smaller than the sum of its proper divisors (4737007880).

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

3390234040 is a wasteful number, since it uses less digits than its factorization.

3390234040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3133 (or 3106 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

The square root of 3390234040 is about 58225.7163116093. The cubic root of 3390234040 is about 1502.2535075884.

Adding to 3390234040 its reverse (404320933), we get a palindrome (3794554973).

The spelling of 3390234040 in words is "three billion, three hundred ninety million, two hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 53 92 106 115 184 212 230 265 424 460 529 530 920 1058 1060 1219 2116 2120 2438 2645 3023 4232 4876 5290 6046 6095 9752 10580 12092 12190 15115 21160 24184 24380 28037 30230 48760 56074 60460 69529 112148 120920 139058 140185 160219 224296 278116 280370 320438 347645 556232 560740 640876 695290 801095 1121480 1281752 1390580 1599167 1602190 2781160 3198334 3204380 3685037 6396668 6408760 7370074 7995835 12793336 14740148 15991670 18425185 29480296 31983340 36850370 63966680 73700740 84755851 147401480 169511702 339023404 423779255 678046808 847558510 1695117020 3390234040