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34200311320 = 2357294211861
BaseRepresentation
bin11111110110011111…
…110101011000011000
310021021110220211022001
4133312133311120120
51030020234430240
623413355210344
72320341564310
oct376637653030
9107243824261
1034200311320
11135602030aa
1267657469b4
1332c064c706
141926222440
15d5276a89a
hex7f67f5618

34200311320 has 64 divisors (see below), whose sum is σ = 90976219200. Its totient is φ = 11321479680.

The previous prime is 34200311309. The next prime is 34200311363. The reversal of 34200311320 is 2311300243.

It is a super-2 number, since 2×342003113202 (a number of 22 digits) contains 22 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, 2097811 + ... + 2114050.

It is an arithmetic number, because the mean of its divisors is an integer number (1421503425).

Almost surely, 234200311320 is an apocalyptic number.

It is an amenable number.

34200311320 is an abundant number, since it is smaller than the sum of its proper divisors (56775907880).

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

34200311320 is a wasteful number, since it uses less digits than its factorization.

34200311320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4211908 (or 4211904 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 34200311320 its reverse (2311300243), we get a palindrome (36511611563).

The spelling of 34200311320 in words is "thirty-four billion, two hundred million, three hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 140 145 203 232 280 290 406 580 812 1015 1160 1624 2030 4060 8120 4211861 8423722 16847444 21059305 29483027 33694888 42118610 58966054 84237220 117932108 122143969 147415135 168474440 235864216 244287938 294830270 488575876 589660540 610719845 855007783 977151752 1179321080 1221439690 1710015566 2442879380 3420031132 4275038915 4885758760 6840062264 8550077830 17100155660 34200311320