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34374137340 = 223531107172717
BaseRepresentation
bin100000000000110110…
…111011010111111100
310021201121000002202210
4200000312323113330
51030344234343330
623442525020420
72324552226564
oct400066732774
9107647002683
1034374137340
111363a339174
1267b39b4710
13331a67134a
14194134dda4
15d62b548b0
hex800dbb5fc

34374137340 has 96 divisors (see below), whose sum is σ = 100281452544. Its totient is φ = 8787790080.

The previous prime is 34374137327. The next prime is 34374137383. The reversal of 34374137340 is 4373147343.

34374137340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112662 + ... + 285378.

It is an arithmetic number, because the mean of its divisors is an integer number (1044598464).

Almost surely, 234374137340 is an apocalyptic number.

34374137340 is a gapful number since it is divisible by the number (30) 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 34374137340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50140726272).

34374137340 is an abundant number, since it is smaller than the sum of its proper divisors (65907315204).

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

34374137340 is a wasteful number, since it uses less digits than its factorization.

34374137340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172867 (or 172865 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 39.

The spelling of 34374137340 in words is "thirty-four billion, three hundred seventy-four million, one hundred thirty-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 107 124 155 186 214 310 321 372 428 465 535 620 642 930 1070 1284 1605 1860 2140 3210 3317 6420 6634 9951 13268 16585 19902 33170 39804 49755 66340 99510 172717 199020 345434 518151 690868 863585 1036302 1727170 2072604 2590755 3454340 5181510 5354227 10363020 10708454 16062681 18480719 21416908 26771135 32125362 36961438 53542270 55442157 64250724 73922876 80313405 92403595 107084540 110884314 160626810 184807190 221768628 277210785 321253620 369614380 554421570 572902289 1108843140 1145804578 1718706867 2291609156 2864511445 3437413734 5729022890 6874827468 8593534335 11458045780 17187068670 34374137340