Search a number
-
+
34351346652 = 22374712596911
BaseRepresentation
bin11111111111011111…
…111111001111011100
310021200000010012211020
4133333133333033130
51030322421043102
623440352324140
72324154425460
oct377737771734
9107600105736
1034351346652
1113628492197
1267a8243650
133315a2192c
14193c2da4a0
15d60b51bbc
hex7ff7ff3dc

34351346652 has 96 divisors (see below), whose sum is σ = 93640458240. Its totient is φ = 9596829120.

The previous prime is 34351346629. The next prime is 34351346657. The reversal of 34351346652 is 25664315343.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34351346657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4967077 + ... + 4973987.

It is an arithmetic number, because the mean of its divisors is an integer number (975421440).

Almost surely, 234351346652 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 34351346652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46820229120).

34351346652 is an abundant number, since it is smaller than the sum of its proper divisors (59289111588).

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

34351346652 is a wasteful number, since it uses less digits than its factorization.

34351346652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8231 (or 8229 counting only the distinct ones).

The product of its digits is 777600, while the sum is 42.

The spelling of 34351346652 in words is "thirty-four billion, three hundred fifty-one million, three hundred forty-six thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 84 94 141 188 282 329 564 658 987 1259 1316 1974 2518 3777 3948 5036 6911 7554 8813 13822 15108 17626 20733 26439 27644 35252 41466 48377 52878 59173 82932 96754 105756 118346 145131 177519 193508 236692 290262 324817 355038 414211 580524 649634 710076 828422 974451 1242633 1299268 1656844 1948902 2273719 2485266 3897804 4547438 4970532 6821157 8700949 9094876 13642314 17401898 26102847 27284628 34803796 52205694 60906643 104411388 121813286 182719929 243626572 365439858 408944603 730879716 817889206 1226833809 1635778412 2453667618 2862612221 4907335236 5725224442 8587836663 11450448884 17175673326 34351346652