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34206211032 = 2337203608399
BaseRepresentation
bin11111110110110110…
…010101101111011000
310021021220000120011220
4133312312111233120
51030023242223112
623414125452040
72320442665530
oct376666255730
9107256016156
1034206211032
11135635726a4
126767711020
1332c1936b76
141926d1a4c0
15d5303398c
hex7f6d95bd8

34206211032 has 32 divisors (see below), whose sum is σ = 97732032000. Its totient is φ = 9773203104.

The previous prime is 34206211031. The next prime is 34206211093. The reversal of 34206211032 is 23011260243.

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

It is a junction number, because it is equal to n+sod(n) for n = 34206210993 and 34206211011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34206211031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101804032 + ... + 101804367.

It is an arithmetic number, because the mean of its divisors is an integer number (3054126000).

Almost surely, 234206211032 is an apocalyptic number.

It is an amenable number.

34206211032 is an abundant number, since it is smaller than the sum of its proper divisors (63525820968).

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

34206211032 is a wasteful number, since it uses less digits than its factorization.

34206211032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203608415 (or 203608411 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 34206211032 its reverse (23011260243), we get a palindrome (57217471275).

The spelling of 34206211032 in words is "thirty-four billion, two hundred six million, two hundred eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 203608399 407216798 610825197 814433596 1221650394 1425258793 1628867192 2443300788 2850517586 4275776379 4886601576 5701035172 8551552758 11402070344 17103105516 34206211032