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34032021324 = 22377138914669
BaseRepresentation
bin11111101100011101…
…110110111101001100
310020211202020210211020
4133230131312331030
51024144144140244
623344544154140
72313226260030
oct375435667514
9106752223736
1034032021324
1113484209364
126719308950
133294818832
14190bb361c0
15d42ac6d19
hex7ec776f4c

34032021324 has 96 divisors (see below), whose sum is σ = 92273126400. Its totient is φ = 9561189120.

The previous prime is 34032021313. The next prime is 34032021337. The reversal of 34032021324 is 42312023043.

It is a junction number, because it is equal to n+sod(n) for n = 34032021294 and 34032021303.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2312662 + ... + 2327330.

It is an arithmetic number, because the mean of its divisors is an integer number (961178400).

Almost surely, 234032021324 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 34032021324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46136563200).

34032021324 is an abundant number, since it is smaller than the sum of its proper divisors (58241105076).

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

34032021324 is a wasteful number, since it uses less digits than its factorization.

34032021324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15143 (or 15141 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 34032021324 its reverse (42312023043), we get a palindrome (76344044367).

The spelling of 34032021324 in words is "thirty-four billion, thirty-two million, twenty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 71 84 142 213 284 389 426 497 778 852 994 1167 1491 1556 1988 2334 2723 2982 4668 5446 5964 8169 10892 14669 16338 27619 29338 32676 44007 55238 58676 82857 88014 102683 110476 165714 176028 193333 205366 308049 331428 386666 410732 579999 616098 773332 1041499 1159998 1232196 2082998 2319996 3124497 4165996 5706241 6248994 7290493 11412482 12497988 14580986 17118723 21871479 22824964 29161972 34237446 39943687 43742958 68474892 79887374 87485916 119831061 159774748 239662122 405143111 479324244 810286222 1215429333 1620572444 2430858666 2836001777 4861717332 5672003554 8508005331 11344007108 17016010662 34032021324