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34399196608 = 2671916324793
BaseRepresentation
bin100000000010010110…
…100001010111000000
310021210100011020121211
4200002112201113000
51030422143242413
623445222055504
72325305226640
oct400226412700
9107710136554
1034399196608
11136524a4607
12680027a594
13332290650a
1419447d4520
15d64e5483d
hex8025a15c0

34399196608 has 112 divisors (see below), whose sum is σ = 82625509120. Its totient is φ = 13880346624.

The previous prime is 34399196581. The next prime is 34399196609. The reversal of 34399196608 is 80669199343.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34399196609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1375060 + ... + 1399852.

It is an arithmetic number, because the mean of its divisors is an integer number (737727760).

Almost surely, 234399196608 is an apocalyptic number.

34399196608 is a gapful number since it is divisible by the number (38) 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 34399196608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41312754560).

34399196608 is an abundant number, since it is smaller than the sum of its proper divisors (48226312512).

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

34399196608 is a wasteful number, since it uses less digits than its factorization.

34399196608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24994 (or 24984 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 58.

The spelling of 34399196608 in words is "thirty-four billion, three hundred ninety-nine million, one hundred ninety-six thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 163 224 266 304 326 448 532 608 652 1064 1141 1216 1304 2128 2282 2608 3097 4256 4564 5216 6194 8512 9128 10432 12388 18256 21679 24776 24793 36512 43358 49552 49586 73024 86716 99104 99172 173432 173551 198208 198344 346864 347102 396688 471067 693728 694204 793376 942134 1387456 1388408 1586752 1884268 2776816 3297469 3768536 4041259 5553632 6594938 7537072 8082518 11107264 13189876 15074144 16165036 26379752 28288813 30148288 32330072 52759504 56577626 64660144 76783921 105519008 113155252 129320288 153567842 211038016 226310504 258640576 307135684 452621008 537487447 614271368 905242016 1074974894 1228542736 1810484032 2149949788 2457085472 4299899576 4914170944 8599799152 17199598304 34399196608