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34341420120 = 23357157260399
BaseRepresentation
bin11111111110111010…
…000111110001011000
310021122022102220011220
4133332322013301120
51030312400420440
623435355452040
72324004153240
oct377672076130
9107568386156
1034341420120
1113622922247
1267a4a57020
133313957647
14193ac74b20
15d5ed408d0
hex7fee87c58

34341420120 has 128 divisors (see below), whose sum is σ = 118492416000. Its totient is φ = 7799440896.

The previous prime is 34341420107. The next prime is 34341420121. The reversal of 34341420120 is 2102414343.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34341420121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1681 + ... + 262079.

It is an arithmetic number, because the mean of its divisors is an integer number (925722000).

Almost surely, 234341420120 is an apocalyptic number.

34341420120 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 34341420120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59246208000).

34341420120 is an abundant number, since it is smaller than the sum of its proper divisors (84150995880).

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

34341420120 is a wasteful number, since it uses less digits than its factorization.

34341420120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260577 (or 260573 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 34341420120 its reverse (2102414343), we get a palindrome (36443834463).

The spelling of 34341420120 in words is "thirty-four billion, three hundred forty-one million, four hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 157 168 210 280 314 420 471 628 785 840 942 1099 1256 1570 1884 2198 2355 3140 3297 3768 4396 4710 5495 6280 6594 8792 9420 10990 13188 16485 18840 21980 26376 32970 43960 65940 131880 260399 520798 781197 1041596 1301995 1562394 1822793 2083192 2603990 3124788 3645586 3905985 5207980 5468379 6249576 7291172 7811970 9113965 10415960 10936758 14582344 15623940 18227930 21873516 27341895 31247880 36455860 40882643 43747032 54683790 72911720 81765286 109367580 122647929 163530572 204413215 218735160 245295858 286178501 327061144 408826430 490591716 572357002 613239645 817652860 858535503 981183432 1144714004 1226479290 1430892505 1635305720 1717071006 2289428008 2452958580 2861785010 3434142012 4292677515 4905917160 5723570020 6868284024 8585355030 11447140040 17170710060 34341420120