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2340937728 = 2133231751
BaseRepresentation
bin1000101110000111…
…1110000000000000
320001010212221212100
42023201332000000
514243240001403
61024142230400
7112003433223
oct21341760000
96033787770
102340937728
11aa1442188
12553b85400
132b3ca976c
14182c875ba
15da7ab2a3
hex8b87e000

2340937728 has 84 divisors (see below), whose sum is σ = 6762509208. Its totient is φ = 780288000.

The previous prime is 2340937721. The next prime is 2340937733. The reversal of 2340937728 is 8277390432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2340937721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 57853 + ... + 89603.

It is an arithmetic number, because the mean of its divisors is an integer number (80506062).

Almost surely, 22340937728 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 2340937728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3381254604).

2340937728 is an abundant number, since it is smaller than the sum of its proper divisors (4421571480).

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

2340937728 is an equidigital number, since it uses as much as digits as its factorization.

2340937728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31783 (or 31756 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 2340937728 is about 48383.2380892391. The cubic root of 2340937728 is about 1327.7917126277.

The spelling of 2340937728 in words is "two billion, three hundred forty million, nine hundred thirty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 8192 9216 12288 18432 24576 31751 36864 63502 73728 95253 127004 190506 254008 285759 381012 508016 571518 762024 1016032 1143036 1524048 2032064 2286072 3048096 4064128 4572144 6096192 8128256 9144288 12192384 16256512 18288576 24384768 32513024 36577152 48769536 65026048 73154304 97539072 130052096 146308608 195078144 260104192 292617216 390156288 585234432 780312576 1170468864 2340937728