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2340963264 = 26331541727
BaseRepresentation
bin1000101110001000…
…0100001111000000
320001010221020220010
42023202010033000
514243241311024
61024142544520
7112003600533
oct21342041700
96033836803
102340963264
11aa145a392
12553b98140
132b3cb8283
14182c92a1a
15da7b3b29
hex8b8843c0

2340963264 has 112 divisors (see below), whose sum is σ = 6414227456. Its totient is φ = 752716800.

The previous prime is 2340963221. The next prime is 2340963269. The reversal of 2340963264 is 4623690432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2340963269) 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 15 ways as a sum of consecutive naturals, for example, 3219669 + ... + 3220395.

It is an arithmetic number, because the mean of its divisors is an integer number (57269888).

Almost surely, 22340963264 is an apocalyptic number.

2340963264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2340963264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3207113728).

2340963264 is an abundant number, since it is smaller than the sum of its proper divisors (4073264192).

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

2340963264 is a wasteful number, since it uses less digits than its factorization.

2340963264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 39.

The square root of 2340963264 is about 48383.5019815639. The cubic root of 2340963264 is about 1327.7965406596.

The spelling of 2340963264 in words is "two billion, three hundred forty million, nine hundred sixty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 541 727 744 992 1082 1454 1488 1623 1984 2164 2181 2908 2976 3246 4328 4362 5816 5952 6492 8656 8724 11632 12984 16771 17312 17448 22537 23264 25968 33542 34624 34896 45074 46528 50313 51936 67084 67611 69792 90148 100626 103872 134168 135222 139584 180296 201252 268336 270444 360592 393307 402504 536672 540888 721184 786614 805008 1073344 1081776 1179921 1442368 1573228 1610016 2163552 2359842 3146456 3220032 4327104 4719684 6292912 9439368 12192517 12585824 18878736 24385034 25171648 36577551 37757472 48770068 73155102 75514944 97540136 146310204 195080272 292620408 390160544 585240816 780321088 1170481632 2340963264