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3404234340 = 22325131454801
BaseRepresentation
bin1100101011101000…
…0111111001100100
322210020200000121100
43022322013321210
523432440444330
61321444320100
7150234341313
oct31272077144
98706600540
103404234340
111497668711
127b00a3030
13423379260
1424419027a
1514dce2060
hexcae87e64

3404234340 has 72 divisors (see below), whose sum is σ = 11120506488. Its totient is φ = 837964800.

The previous prime is 3404234291. The next prime is 3404234359. The reversal of 3404234340 is 434324043.

It can be written as a sum of positive squares in 4 ways, for example, as 8608356 + 3395625984 = 2934^2 + 58272^2 .

It is a super-2 number, since 2×34042343402 = 23177622883270471200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 725061 + ... + 729740.

It is an arithmetic number, because the mean of its divisors is an integer number (154451479).

Almost surely, 23404234340 is an apocalyptic number.

3404234340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3404234340 is an abundant number, since it is smaller than the sum of its proper divisors (7716272148).

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

3404234340 is a wasteful number, since it uses less digits than its factorization.

3404234340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454829 (or 1454824 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

The square root of 3404234340 is about 58345.8168166322. The cubic root of 3404234340 is about 1504.3185680479.

Adding to 3404234340 its reverse (434324043), we get a palindrome (3838558383).

The spelling of 3404234340 in words is "three billion, four hundred four million, two hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 1454801 2909602 4364403 5819204 7274005 8728806 13093209 14548010 17457612 18912413 21822015 26186418 29096020 37824826 43644030 52372836 56737239 65466045 75649652 87288060 94562065 113474478 130932090 170211717 189124130 226948956 261864180 283686195 340423434 378248260 567372390 680846868 851058585 1134744780 1702117170 3404234340