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34481151342 = 232111092336857
BaseRepresentation
bin100000000111001111…
…001001110101101110
310022000001100222101100
4200013033021311232
51031104133320332
623501310423530
72330321644011
oct400717116556
9108001328340
1034481151342
11136947903a0
126823801ba6
13333689c541
141951649378
15d6c24267c
hex8073c9d6e

34481151342 has 96 divisors (see below), whose sum is σ = 82613662560. Its totient is φ = 10307036160.

The previous prime is 34481151337. The next prime is 34481151361. The reversal of 34481151342 is 24315118443.

34481151342 is a `hidden beast` number, since 34 + 481 + 15 + 134 + 2 = 666.

34481151342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 34481151297 and 34481151306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5025178 + ... + 5032034.

It is an arithmetic number, because the mean of its divisors is an integer number (860558985).

Almost surely, 234481151342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34481151342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41306831280).

34481151342 is an abundant number, since it is smaller than the sum of its proper divisors (48132511218).

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

34481151342 is a wasteful number, since it uses less digits than its factorization.

34481151342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7218 (or 7215 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

Adding to 34481151342 its reverse (24315118443), we get a palindrome (58796269785).

The spelling of 34481151342 in words is "thirty-four billion, four hundred eighty-one million, one hundred fifty-one thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 109 198 218 233 327 466 654 699 981 1199 1398 1962 2097 2398 2563 3597 4194 5126 6857 7194 7689 10791 13714 15378 20571 21582 23067 25397 41142 46134 50794 61713 75427 76191 123426 150854 152382 226281 228573 279367 452562 457146 558734 678843 747413 838101 1357686 1494826 1597681 1676202 2242239 2514303 3195362 4484478 4793043 5028606 6726717 8221543 9586086 13453434 14379129 16443086 17574491 24664629 28758258 35148982 49329258 52723473 73993887 105446946 147987774 158170419 174147229 316340838 348294458 522441687 1044883374 1567325061 1915619519 3134650122 3831239038 5746858557 11493717114 17240575671 34481151342