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34423245504 = 26322310492477
BaseRepresentation
bin100000000011110010…
…010000101011000000
310021212000102001111200
4200003302100223000
51030444322324004
623451441341200
72326016521224
oct400362205300
9107760361450
1034423245504
111366502a92a
126808337800
1333278a682b
141947a94784
15d67105239
hex803c90ac0

34423245504 has 168 divisors, whose sum is σ = 103097685600. Its totient is φ = 10960637952.

The previous prime is 34423245491. The next prime is 34423245517. The reversal of 34423245504 is 40554232443.

34423245504 is a `hidden beast` number, since 34 + 42 + 32 + 4 + 550 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (34423245491) and next prime (34423245517).

It is a super-3 number, since 3×344232455043 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13895914 + ... + 13898390.

It is an arithmetic number, because the mean of its divisors is an integer number (613676700).

Almost surely, 234423245504 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 34423245504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51548842800).

34423245504 is an abundant number, since it is smaller than the sum of its proper divisors (68674440096).

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

34423245504 is a wasteful number, since it uses less digits than its factorization.

34423245504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3567 (or 3554 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

Adding to 34423245504 its reverse (40554232443), we get a palindrome (74977477947).

The spelling of 34423245504 in words is "thirty-four billion, four hundred twenty-three million, two hundred forty-five thousand, five hundred four".