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2340330144 = 25338476337
BaseRepresentation
bin1000101101111110…
…1001101010100000
320001002202002102020
42023133221222200
514243111031034
61024121221440
7111665322645
oct21337515240
96032662366
102340330144
11aa1067749
12553931880
132b3b26049
14182b69dcc
15da6db249
hex8b7e9aa0

2340330144 has 48 divisors (see below), whose sum is σ = 6145933248. Its totient is φ = 779784192.

The previous prime is 2340330127. The next prime is 2340330163. The reversal of 2340330144 is 4410330432.

2340330144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 366144 + ... + 372480.

It is an arithmetic number, because the mean of its divisors is an integer number (128040276).

Almost surely, 22340330144 is an apocalyptic number.

2340330144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2340330144 is an abundant number, since it is smaller than the sum of its proper divisors (3805603104).

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

2340330144 is a wasteful number, since it uses less digits than its factorization.

2340330144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10197 (or 10189 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 2340330144 is about 48376.9588130548. The cubic root of 2340330144 is about 1327.6768277825.

Adding to 2340330144 its reverse (4410330432), we get a palindrome (6750660576).

The spelling of 2340330144 in words is "two billion, three hundred forty million, three hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 3847 6337 7694 11541 12674 15388 19011 23082 25348 30776 38022 46164 50696 61552 76044 92328 101392 123104 152088 184656 202784 304176 369312 608352 24378439 48756878 73135317 97513756 146270634 195027512 292541268 390055024 585082536 780110048 1170165072 2340330144