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34234121012 = 22713236835987
BaseRepresentation
bin11111111000100000…
…110011101100110100
310021100211112112110212
4133320200303230310
51030102413333022
623421004004552
72321232140660
oct377040635464
9107324475425
1034234121012
11135782a58a3
126774b30758
1332c7659750
14192a9038a0
15d556e83e2
hex7f8833b34

34234121012 has 96 divisors (see below), whose sum is σ = 77066422272. Its totient is φ = 12933207936.

The previous prime is 34234120969. The next prime is 34234121027. The reversal of 34234121012 is 21012143243.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5715083 + ... + 5721069.

It is an arithmetic number, because the mean of its divisors is an integer number (802775232).

Almost surely, 234234121012 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 34234121012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38533211136).

34234121012 is an abundant number, since it is smaller than the sum of its proper divisors (42832301260).

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

34234121012 is a wasteful number, since it uses less digits than its factorization.

34234121012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6717 (or 6715 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 34234121012 its reverse (21012143243), we get a palindrome (55246264255).

The spelling of 34234121012 in words is "thirty-four billion, two hundred thirty-four million, one hundred twenty-one thousand, twelve".

Divisors: 1 2 4 7 13 14 23 26 28 46 52 91 92 161 182 299 322 364 598 644 683 1196 1366 2093 2732 4186 4781 5987 8372 8879 9562 11974 15709 17758 19124 23948 31418 35516 41909 62153 62836 77831 83818 109963 124306 137701 155662 167636 204217 219926 248612 275402 311324 408434 439852 544817 550804 816868 963907 1089634 1429519 1790113 1927814 2179268 2859038 3580226 3855628 4089121 5718076 7160452 8178242 12530791 16356484 25061582 28623847 50123164 53158573 57247694 94049783 106317146 114495388 188099566 212634292 372110011 376199132 658348481 744220022 1222647179 1316696962 1488440044 2445294358 2633393924 4890588716 8558530253 17117060506 34234121012