Search a number
-
+
3252145314 = 231128575227
BaseRepresentation
bin1100000111010111…
…1100110010100010
322101122111002200110
43001311330302202
523130022122224
61254412432150
7143406531135
oct30165746242
98348432613
103252145314
111419829a00
12769178656
133ca9c8552
1422bcc021c
1514079d929
hexc1d7cca2

3252145314 has 48 divisors (see below), whose sum is σ = 7159055904. Its totient is φ = 984160320.

The previous prime is 3252145301. The next prime is 3252145327. The reversal of 3252145314 is 4135412523.

3252145314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3252145301) and next prime (3252145327).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 619569 + ... + 624795.

It is an arithmetic number, because the mean of its divisors is an integer number (149146998).

Almost surely, 23252145314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3252145314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3579527952).

3252145314 is an abundant number, since it is smaller than the sum of its proper divisors (3906910590).

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

3252145314 is a wasteful number, since it uses less digits than its factorization.

3252145314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6111 (or 6100 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 3252145314 is about 57027.5837994211. The cubic root of 3252145314 is about 1481.5738847879.

Adding to 3252145314 its reverse (4135412523), we get a palindrome (7387557837).

The spelling of 3252145314 in words is "three billion, two hundred fifty-two million, one hundred forty-five thousand, three hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 857 1714 2571 5142 5227 9427 10454 15681 18854 28281 31362 56562 57497 103697 114994 172491 207394 311091 344982 622182 632467 1264934 1897401 3794802 4479539 8959078 13438617 26877234 49274929 98549858 147824787 295649574 542024219 1084048438 1626072657 3252145314