Search a number
-
+
1052234316 = 2232717923327
BaseRepresentation
bin111110101101111…
…101001001001100
32201022222001010100
4332231331021030
54123332444231
6252225011100
735034562350
oct7655751114
92638861110
101052234316
1149aa60241
12254483a90
13139cc8573
149da67460
156259d1e6
hex3eb7d24c

1052234316 has 72 divisors (see below), whose sum is σ = 3056901120. Its totient is φ = 298946016.

The previous prime is 1052234279. The next prime is 1052234317. The reversal of 1052234316 is 6134322501.

1052234316 is a `hidden beast` number, since 1 + 0 + 5 + 223 + 431 + 6 = 666.

It is a super-2 number, since 2×10522343162 = 2214394111535975712, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1052234316.

It is not an unprimeable number, because it can be changed into a prime (1052234317) 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, 33445 + ... + 56771.

It is an arithmetic number, because the mean of its divisors is an integer number (42456960).

Almost surely, 21052234316 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 1052234316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528450560).

1052234316 is an abundant number, since it is smaller than the sum of its proper divisors (2004666804).

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

1052234316 is a wasteful number, since it uses less digits than its factorization.

1052234316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23523 (or 23518 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1052234316 is about 32438.1614152220. The cubic root of 1052234316 is about 1017.1167827652.

Adding to 1052234316 its reverse (6134322501), we get a palindrome (7186556817).

The spelling of 1052234316 in words is "one billion, fifty-two million, two hundred thirty-four thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 179 252 358 537 716 1074 1253 1611 2148 2506 3222 3759 5012 6444 7518 11277 15036 22554 23327 45108 46654 69981 93308 139962 163289 209943 279924 326578 419886 489867 653156 839772 979734 1469601 1959468 2939202 4175533 5878404 8351066 12526599 16702132 25053198 29228731 37579797 50106396 58457462 75159594 87686193 116914924 150319188 175372386 263058579 350744772 526117158 1052234316