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34355212000 = 255341271773
BaseRepresentation
bin11111111111101110…
…101110111011100000
310021200021101121002021
4133333232232323200
51030324413241000
623441011231224
72324232324634
oct377756567340
9107607347067
1034355212000
111362a69229a
1267a95a8514
133316776115
14193ca24dc4
15d6116711a
hex7ffbaeee0

34355212000 has 192 divisors, whose sum is σ = 86900905728. Its totient is φ = 13340160000.

The previous prime is 34355211977. The next prime is 34355212043. The reversal of 34355212000 is 21255343.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 44443614 + ... + 44444386.

It is an arithmetic number, because the mean of its divisors is an integer number (452608884).

Almost surely, 234355212000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34355212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43450452864).

34355212000 is an abundant number, since it is smaller than the sum of its proper divisors (52545693728).

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

34355212000 is a wasteful number, since it uses less digits than its factorization.

34355212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 34355212000 its reverse (21255343), we get a palindrome (34376467343).

The spelling of 34355212000 in words is "thirty-four billion, three hundred fifty-five million, two hundred twelve thousand".