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3234677340 = 22351391991949
BaseRepresentation
bin1100000011001101…
…0100001001011100
322100102121122010110
43000303110021130
523111034133330
61252550210020
7143105206116
oct30063241134
98312548113
103234677340
11140a988a64
12763353910
133c71c077b
142298543b6
1513de9cdb0
hexc0cd425c

3234677340 has 96 divisors (see below), whose sum is σ = 9172800000. Its totient is φ = 851634432.

The previous prime is 3234677323. The next prime is 3234677359. The reversal of 3234677340 is 437764323.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1658686 + ... + 1660634.

It is an arithmetic number, because the mean of its divisors is an integer number (95550000).

Almost surely, 23234677340 is an apocalyptic number.

3234677340 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 3234677340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4586400000).

3234677340 is an abundant number, since it is smaller than the sum of its proper divisors (5938122660).

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

3234677340 is a wasteful number, since it uses less digits than its factorization.

3234677340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2299 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 39.

The square root of 3234677340 is about 56874.2238628361. The cubic root of 3234677340 is about 1478.9165036630.

The spelling of 3234677340 in words is "three billion, two hundred thirty-four million, six hundred seventy-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 139 199 278 398 417 556 597 695 796 834 995 1194 1390 1668 1949 1990 2085 2388 2780 2985 3898 3980 4170 5847 5970 7796 8340 9745 11694 11940 19490 23388 27661 29235 38980 55322 58470 82983 110644 116940 138305 165966 270911 276610 331932 387851 414915 541822 553220 775702 812733 829830 1083644 1163553 1354555 1551404 1625466 1659660 1939255 2327106 2709110 3250932 3878510 4063665 4654212 5418220 5817765 7757020 8127330 11635530 16254660 23271060 53911289 107822578 161733867 215645156 269556445 323467734 539112890 646935468 808669335 1078225780 1617338670 3234677340