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2340225340 = 225315416977
BaseRepresentation
bin1000101101111101…
…0000000100111100
320001002112202122121
42023133100010330
514243044202330
61024115052324
7111664405255
oct21337200474
96032482577
102340225340
11aa0aa5a32
125538a10a4
132b3aba42b
14182b3db2c
15da6ba17a
hex8b7d013c

2340225340 has 48 divisors (see below), whose sum is σ = 5083110144. Its totient is φ = 904089600.

The previous prime is 2340225337. The next prime is 2340225341. The reversal of 2340225340 is 435220432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2340225341) 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, 331932 + ... + 338908.

It is an arithmetic number, because the mean of its divisors is an integer number (105898128).

Almost surely, 22340225340 is an apocalyptic number.

2340225340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2340225340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2541555072).

2340225340 is an abundant number, since it is smaller than the sum of its proper divisors (2742884804).

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

2340225340 is a wasteful number, since it uses less digits than its factorization.

2340225340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7558 (or 7556 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 2340225340 is about 48375.8755993109. The cubic root of 2340225340 is about 1327.6570089377.

Adding to 2340225340 its reverse (435220432), we get a palindrome (2775445772).

The spelling of 2340225340 in words is "two billion, three hundred forty million, two hundred twenty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 541 620 1082 2164 2705 5410 6977 10820 13954 16771 27908 33542 34885 67084 69770 83855 139540 167710 216287 335420 432574 865148 1081435 2162870 3774557 4325740 7549114 15098228 18872785 37745570 75491140 117011267 234022534 468045068 585056335 1170112670 2340225340