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34207268152 = 2343472418779
BaseRepresentation
bin11111110110111010…
…010111110100111000
310021021222000021021111
4133312322113310320
51030024030040102
623414204250104
72320454660521
oct376672276470
9107258007244
1034207268152
1113564124952
126767b40934
1332c1c17095
141927113848
15d53191cd7
hex7f6e97d38

34207268152 has 64 divisors (see below), whose sum is σ = 67312396800. Its totient is φ = 16280732160.

The previous prime is 34207268149. The next prime is 34207268191. The reversal of 34207268152 is 25186270243.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3892099 + ... + 3900877.

It is an arithmetic number, because the mean of its divisors is an integer number (1051756200).

Almost surely, 234207268152 is an apocalyptic number.

It is an amenable number.

34207268152 is a deficient number, since it is larger than the sum of its proper divisors (33105128648).

34207268152 is a wasteful number, since it uses less digits than its factorization.

34207268152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9116 (or 9112 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 34207268152 in words is "thirty-four billion, two hundred seven million, two hundred sixty-eight thousand, one hundred fifty-two".

Divisors: 1 2 4 8 43 47 86 94 172 188 241 344 376 482 964 1928 2021 4042 8084 8779 10363 11327 16168 17558 20726 22654 35116 41452 45308 70232 82904 90616 377497 412613 487061 754994 825226 974122 1509988 1650452 1948244 2115739 3019976 3300904 3896488 4231478 8462956 16925912 17742359 35484718 70969436 90976777 99439733 141938872 181953554 198879466 363907108 397758932 727814216 795517864 4275908519 8551817038 17103634076 34207268152