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34228271352 = 23311208162303
BaseRepresentation
bin11111111000001010…
…011111100011111000
310021100102112100020210
4133320022133203320
51030044414140402
623420234351120
72321131335402
oct377012374370
9107312470223
1034228271352
1113574a6a970
126772b8b4a0
1332c638c002
141929c1db72
15d54e4006c
hex7f829f8f8

34228271352 has 64 divisors (see below), whose sum is σ = 93396188160. Its totient is φ = 10367052800.

The previous prime is 34228271339. The next prime is 34228271401. The reversal of 34228271352 is 25317282243.

It is a super-2 number, since 2×342282713522 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34228271352.

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, 518233 + ... + 580535.

It is an arithmetic number, because the mean of its divisors is an integer number (1459315440).

Almost surely, 234228271352 is an apocalyptic number.

It is an amenable number.

34228271352 is an abundant number, since it is smaller than the sum of its proper divisors (59167916808).

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

34228271352 is a wasteful number, since it uses less digits than its factorization.

34228271352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64404 (or 64400 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The spelling of 34228271352 in words is "thirty-four billion, two hundred twenty-eight million, two hundred seventy-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 2081 4162 6243 8324 12486 16648 22891 24972 45782 49944 62303 68673 91564 124606 137346 183128 186909 249212 274692 373818 498424 549384 685333 747636 1370666 1495272 2055999 2741332 4111998 5482664 8223996 16447992 129652543 259305086 388957629 518610172 777915258 1037220344 1426177973 1555830516 2852355946 3111661032 4278533919 5704711892 8557067838 11409423784 17114135676 34228271352