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2340364128 = 2531271391381
BaseRepresentation
bin1000101101111111…
…0001111101100000
320001002210211000220
42023133301331200
514243113123003
61024122043040
7111665524014
oct21337617540
96032724026
102340364128
11aa1090233
12553949480
132b3b3865b
14182b78544
15da6e6353
hex8b7f1f60

2340364128 has 96 divisors (see below), whose sum is σ = 6240890880. Its totient is φ = 767854080.

The previous prime is 2340364123. The next prime is 2340364129. The reversal of 2340364128 is 8214630432.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2340364123) 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, 1693998 + ... + 1695378.

It is an arithmetic number, because the mean of its divisors is an integer number (65009280).

Almost surely, 22340364128 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 2340364128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3120445440).

2340364128 is an abundant number, since it is smaller than the sum of its proper divisors (3900526752).

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

2340364128 is a wasteful number, since it uses less digits than its factorization.

2340364128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 2340364128 is about 48377.3100533711. The cubic root of 2340364128 is about 1327.6832541622.

The spelling of 2340364128 in words is "two billion, three hundred forty million, three hundred sixty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127 139 254 278 381 417 508 556 762 834 1016 1112 1381 1524 1668 2032 2224 2762 3048 3336 4064 4143 4448 5524 6096 6672 8286 11048 12192 13344 16572 17653 22096 33144 35306 44192 52959 66288 70612 105918 132576 141224 175387 191959 211836 282448 350774 383918 423672 526161 564896 575877 701548 767836 847344 1052322 1151754 1403096 1535672 1694688 2104644 2303508 2806192 3071344 4209288 4607016 5612384 6142688 8418576 9214032 16837152 18428064 24378793 48757586 73136379 97515172 146272758 195030344 292545516 390060688 585091032 780121376 1170182064 2340364128