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34420074040 = 23511653119797
BaseRepresentation
bin100000000011100110…
…001010011000111000
310021211210102221002001
4200003212022120320
51030443014332130
623451245350344
72325650542042
oct400346123070
9107753387061
1034420074040
1113663264090
1268072683b4
133327036121
1419474aaa92
15d66bca6ca
hex80398a638

34420074040 has 64 divisors (see below), whose sum is σ = 84615723360. Its totient is φ = 12497118720.

The previous prime is 34420074037. The next prime is 34420074053. The reversal of 34420074040 is 4047002443.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227422 + ... + 347218.

Almost surely, 234420074040 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 34420074040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42307861680).

34420074040 is an abundant number, since it is smaller than the sum of its proper divisors (50195649320).

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

34420074040 is a wasteful number, since it uses less digits than its factorization.

34420074040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120472 (or 120468 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 28.

Adding to 34420074040 its reverse (4047002443), we get a palindrome (38467076483).

The spelling of 34420074040 in words is "thirty-four billion, four hundred twenty million, seventy-four thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 653 1306 2612 3265 5224 6530 7183 13060 14366 26120 28732 35915 57464 71830 119797 143660 239594 287320 479188 598985 958376 1197970 1317767 2395940 2635534 4791880 5271068 6588835 10542136 13177670 26355340 52710680 78227441 156454882 312909764 391137205 625819528 782274410 860501851 1564548820 1721003702 3129097640 3442007404 4302509255 6884014808 8605018510 17210037020 34420074040