Search a number
-
+
34075174128 = 2434117314621
BaseRepresentation
bin11111101111000010…
…011110010011110000
310020221202110012100020
4133233002132103300
51024241221033003
623353125123440
72314262125662
oct375702362360
9106852405306
1034075174128
11134a6602736
12672b859580
1332a0747438
14191376a532
15d4679cd53
hex7ef09e4f0

34075174128 has 40 divisors (see below), whose sum is σ = 90174551376. Its totient is φ = 11081356800.

The previous prime is 34075174121. The next prime is 34075174129. The reversal of 34075174128 is 82147157043.

It is a super-2 number, since 2×340751741282 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34075174128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34075174121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8655343 + ... + 8659278.

Almost surely, 234075174128 is an apocalyptic number.

It is an amenable number.

34075174128 is an abundant number, since it is smaller than the sum of its proper divisors (56099377248).

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

34075174128 is a wasteful number, since it uses less digits than its factorization.

34075174128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17314673 (or 17314667 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 34075174128 in words is "thirty-four billion, seventy-five million, one hundred seventy-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 984 1968 17314621 34629242 51943863 69258484 103887726 138516968 207775452 277033936 415550904 709899461 831101808 1419798922 2129698383 2839597844 4259396766 5679195688 8518793532 11358391376 17037587064 34075174128