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34242045534 = 2323185371941
BaseRepresentation
bin11111111000111111…
…000010011001011110
310021101101110010212200
4133320333002121132
51030111430424114
623421445512330
72321356404354
oct377077023136
9107341403780
1034242045534
1113581818694
1267777126a6
1332c91a2708
14192b9a77d4
15d56261409
hex7f8fc265e

34242045534 has 48 divisors (see below), whose sum is σ = 76675208064. Its totient is φ = 11032718400.

The previous prime is 34242045533. The next prime is 34242045553. The reversal of 34242045534 is 43554024243.

34242045534 is a `hidden beast` number, since 3 + 42 + 42 + 0 + 45 + 534 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34242045533) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 440004 + ... + 511944.

It is an arithmetic number, because the mean of its divisors is an integer number (1597400168).

Almost surely, 234242045534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34242045534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38337604032).

34242045534 is an abundant number, since it is smaller than the sum of its proper divisors (42433162530).

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

34242045534 is a wasteful number, since it uses less digits than its factorization.

34242045534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72833 (or 72830 counting only the distinct ones).

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

Adding to 34242045534 its reverse (43554024243), we get a palindrome (77796069777).

The spelling of 34242045534 in words is "thirty-four billion, two hundred forty-two million, forty-five thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 853 1706 2559 5118 7677 15354 26443 52886 71941 79329 143882 158658 215823 237987 431646 475974 647469 1294938 2230171 4460342 6690513 13381026 20071539 40143078 61365673 122731346 184097019 368194038 552291057 1104582114 1902335863 3804671726 5707007589 11414015178 17121022767 34242045534