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34421300312 = 23719117771811
BaseRepresentation
bin100000000011101010…
…110101110001011000
310021211212202020012112
4200003222311301120
51030443323102222
623451331531452
72325664140140
oct400352656130
9107755666175
1034421300312
1113663a21433
126807759b88
133327375329
141947709920
15d66d6dbe2
hex803ab5c58

34421300312 has 64 divisors (see below), whose sum is σ = 74228797440. Its totient is φ = 14658393600.

The previous prime is 34421300191. The next prime is 34421300321. The reversal of 34421300312 is 21300312443.

It is a super-3 number, since 3×344213003123 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19005887 + ... + 19007697.

It is an arithmetic number, because the mean of its divisors is an integer number (1159824960).

Almost surely, 234421300312 is an apocalyptic number.

It is an amenable number.

34421300312 is an abundant number, since it is smaller than the sum of its proper divisors (39807497128).

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

34421300312 is a wasteful number, since it uses less digits than its factorization.

34421300312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3792 (or 3788 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 34421300312 its reverse (21300312443), we get a palindrome (55721612755).

The spelling of 34421300312 in words is "thirty-four billion, four hundred twenty-one million, three hundred thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 56 191 382 764 1337 1528 1777 1811 2674 3554 3622 5348 7108 7244 10696 12439 12677 14216 14488 24878 25354 49756 50708 99512 101416 339407 345901 678814 691802 1357628 1383604 2375849 2421307 2715256 2767208 3218147 4751698 4842614 6436294 9503396 9685228 12872588 19006792 19370456 22527029 25745176 45054058 90108116 180216232 614666077 1229332154 2458664308 4302662539 4917328616 8605325078 17210650156 34421300312