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1340022624 = 25361228829
BaseRepresentation
bin100111111011111…
…0001111101100000
310110101111012110120
41033313301331200
510221021210444
6340545200240
745131001333
oct11767617540
93411435416
101340022624
11628453916
12314930080
1318480bbc5
14c9d7c61a
157c998b19
hex4fdf1f60

1340022624 has 48 divisors (see below), whose sum is σ = 3575239920. Its totient is φ = 439349760.

The previous prime is 1340022623. The next prime is 1340022641. The reversal of 1340022624 is 4262200431.

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 a junction number, because it is equal to n+sod(n) for n = 1340022594 and 1340022603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340022623) by changing a digit.

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, 108559 + ... + 120270.

It is an arithmetic number, because the mean of its divisors is an integer number (74484165).

Almost surely, 21340022624 is an apocalyptic number.

It is an amenable number.

1340022624 is an abundant number, since it is smaller than the sum of its proper divisors (2235217296).

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

1340022624 is a wasteful number, since it uses less digits than its factorization.

1340022624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228903 (or 228895 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1340022624 is about 36606.3194544330. The cubic root of 1340022624 is about 1102.4799759836.

The spelling of 1340022624 in words is "one billion, three hundred forty million, twenty-two thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 976 1464 1952 2928 5856 228829 457658 686487 915316 1372974 1830632 2745948 3661264 5491896 7322528 10983792 13958569 21967584 27917138 41875707 55834276 83751414 111668552 167502828 223337104 335005656 446674208 670011312 1340022624