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2345121264 = 2431392711297
BaseRepresentation
bin1000101111000111…
…1011010111110000
320001102202111121010
42023301323113300
514300322340024
61024412030520
7112054126143
oct21361732760
96042674533
102345121264
11aa383a352
12555462440
132b4b12a25
1418365605a
15dad35b29
hex8bc7b5f0

2345121264 has 80 divisors (see below), whose sum is σ = 6129052160. Its totient is φ = 772623360.

The previous prime is 2345121223. The next prime is 2345121269. The reversal of 2345121264 is 4621215432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2345121269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1807464 + ... + 1808760.

It is an arithmetic number, because the mean of its divisors is an integer number (76613152).

Almost surely, 22345121264 is an apocalyptic number.

2345121264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2345121264 is an abundant number, since it is smaller than the sum of its proper divisors (3783930896).

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

2345121264 is a wasteful number, since it uses less digits than its factorization.

2345121264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1718 (or 1712 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 2345121264 is about 48426.4521103911. The cubic root of 2345121264 is about 1328.5822161620.

Adding to 2345121264 its reverse (4621215432), we get a palindrome (6966336696).

The spelling of 2345121264 in words is "two billion, three hundred forty-five million, one hundred twenty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 139 271 278 417 542 556 813 834 1084 1112 1297 1626 1668 2168 2224 2594 3252 3336 3891 4336 5188 6504 6672 7782 10376 13008 15564 20752 31128 37669 62256 75338 113007 150676 180283 226014 301352 351487 360566 452028 540849 602704 702974 721132 904056 1054461 1081698 1405948 1442264 1808112 2108922 2163396 2811896 2884528 4217844 4326792 5623792 8435688 8653584 16871376 48856693 97713386 146570079 195426772 293140158 390853544 586280316 781707088 1172560632 2345121264