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34020711342 = 2345318772111
BaseRepresentation
bin11111101011110010…
…101101101110101110
310020210221222012110000
4133223302231232232
51024133300230332
623343501525130
72313031163232
oct375362555656
9106727865400
1034020711342
1113478893a72
1267155737a6
133292388937
14190a4305c2
15d41ae0b7c
hex7ebcadbae

34020711342 has 80 divisors (see below), whose sum is σ = 77748118272. Its totient is φ = 11115074880.

The previous prime is 34020711323. The next prime is 34020711367. The reversal of 34020711342 is 24311702043.

It is a happy number.

34020711342 is a `hidden beast` number, since 340 + 207 + 113 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16114867 + ... + 16116977.

Almost surely, 234020711342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34020711342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38874059136).

34020711342 is an abundant number, since it is smaller than the sum of its proper divisors (43727406930).

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

34020711342 is a wasteful number, since it uses less digits than its factorization.

34020711342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4055 (or 4046 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 34020711342 in words is "thirty-four billion, twenty million, seven hundred eleven thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 53 54 81 106 159 162 318 477 954 1431 1877 2111 2862 3754 4222 4293 5631 6333 8586 11262 12666 16893 18999 33786 37998 50679 56997 99481 101358 111883 113994 152037 170991 198962 223766 298443 304074 335649 341982 596886 671298 895329 1006947 1790658 2013894 2685987 3020841 3962347 5371974 6041682 7924694 8057961 9062523 11887041 16115922 18125046 23774082 35661123 71322246 106983369 210004391 213966738 320950107 420008782 630013173 641900214 1260026346 1890039519 3780079038 5670118557 11340237114 17010355671 34020711342