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2340814464 = 2734317283
BaseRepresentation
bin1000101110000101…
…1111111010000000
320001010122200210000
42023201133322000
514243222030324
61024135440000
7112002410652
oct21341377200
96033580700
102340814464
11aa136860a
12553b26000
132b3c65621
14182c546d2
15da7849c9
hex8b85fe80

2340814464 has 160 divisors (see below), whose sum is σ = 7191930240. Its totient is φ = 754997760.

The previous prime is 2340814453. The next prime is 2340814471. The reversal of 2340814464 is 4644180432.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 317767 + ... + 325049.

It is an arithmetic number, because the mean of its divisors is an integer number (44949564).

Almost surely, 22340814464 is an apocalyptic number.

2340814464 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 2340814464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3595965120).

2340814464 is an abundant number, since it is smaller than the sum of its proper divisors (4851115776).

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

2340814464 is an equidigital number, since it uses as much as digits as its factorization.

2340814464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7340 (or 7319 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 2340814464 is about 48381.9642428870. The cubic root of 2340814464 is about 1327.7684068974.

Adding to 2340814464 its reverse (4644180432), we get a palindrome (6984994896).

The spelling of 2340814464 in words is "two billion, three hundred forty million, eight hundred fourteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 81 93 96 108 124 128 144 162 186 192 216 248 279 288 324 372 384 432 496 558 576 648 744 837 864 992 1116 1152 1296 1488 1674 1728 1984 2232 2511 2592 2976 3348 3456 3968 4464 5022 5184 5952 6696 7283 8928 10044 10368 11904 13392 14566 17856 20088 21849 26784 29132 35712 40176 43698 53568 58264 65547 80352 87396 107136 116528 131094 160704 174792 196641 225773 233056 262188 321408 349584 393282 451546 466112 524376 589923 677319 699168 786564 903092 932224 1048752 1179846 1354638 1398336 1573128 1806184 2031957 2097504 2359692 2709276 2796672 3146256 3612368 4063914 4195008 4719384 5418552 6095871 6292512 7224736 8127828 8390016 9438768 10837104 12191742 12585024 14449472 16255656 18287613 18877536 21674208 24383484 25170048 28898944 32511312 36575226 37755072 43348416 48766968 65022624 73150452 75510144 86696832 97533936 130045248 146300904 195067872 260090496 292601808 390135744 585203616 780271488 1170407232 2340814464