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2340414432 = 25332708813
BaseRepresentation
bin1000101101111111…
…1110001111100000
320001002220101001000
42023133332033200
514243121230212
61024123112000
7111666123456
oct21337761740
96032811030
102340414432
11aa1115004
12553972600
132b3b55515
14182b8c9d6
15da7061dc
hex8b7fe3e0

2340414432 has 48 divisors (see below), whose sum is σ = 6826211280. Its totient is φ = 780137856.

The previous prime is 2340414403. The next prime is 2340414493. The reversal of 2340414432 is 2344140432.

It is a happy number.

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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 2340414396 and 2340414405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1353543 + ... + 1355270.

It is an arithmetic number, because the mean of its divisors is an integer number (142212735).

Almost surely, 22340414432 is an apocalyptic number.

It is an amenable number.

2340414432 is an abundant number, since it is smaller than the sum of its proper divisors (4485796848).

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

2340414432 is a wasteful number, since it uses less digits than its factorization.

2340414432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2708832 (or 2708818 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 2340414432 is about 48377.8299637344. The cubic root of 2340414432 is about 1327.6927665424.

Adding to 2340414432 its reverse (2344140432), we get a palindrome (4684554864).

The spelling of 2340414432 in words is "two billion, three hundred forty million, four hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 2708813 5417626 8126439 10835252 16252878 21670504 24379317 32505756 43341008 48758634 65011512 73137951 86682016 97517268 130023024 146275902 195034536 260046048 292551804 390069072 585103608 780138144 1170207216 2340414432