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3404343330 = 234517247229
BaseRepresentation
bin1100101011101010…
…0010100000100010
322210020212120010000
43022322202200202
523433002441310
61321450520430
7150235304133
oct31272424042
98706776100
103404343330
111497732593
127b0136116
134233b6a4b
142441bbc8a
1514dd144c0
hexcaea2822

3404343330 has 80 divisors (see below), whose sum is σ = 9692404920. Its totient is φ = 854419968.

The previous prime is 3404343253. The next prime is 3404343389. The reversal of 3404343330 is 333434043.

It can be written as a sum of positive squares in 4 ways, for example, as 2394438489 + 1009904841 = 48933^2 + 31779^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3404343294 and 3404343303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 109845 + ... + 137384.

Almost surely, 23404343330 is an apocalyptic number.

3404343330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3404343330 is an abundant number, since it is smaller than the sum of its proper divisors (6288061590).

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

3404343330 is a wasteful number, since it uses less digits than its factorization.

3404343330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247265 (or 247256 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 27.

The square root of 3404343330 is about 58346.7508092781. The cubic root of 3404343330 is about 1504.3346219693.

Adding to 3404343330 its reverse (333434043), we get a palindrome (3737777373).

The spelling of 3404343330 in words is "three billion, four hundred four million, three hundred forty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 255 270 306 405 459 510 765 810 918 1377 1530 2295 2754 4590 6885 13770 247229 494458 741687 1236145 1483374 2225061 2472290 3708435 4202893 4450122 6675183 7416870 8405786 11125305 12608679 13350366 20025549 21014465 22250610 25217358 33375915 37826037 40051098 42028930 63043395 66751830 75652074 100127745 113478111 126086790 189130185 200255490 226956222 340434333 378260370 567390555 680868666 1134781110 1702171665 3404343330