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2340137124 = 22321315731849
BaseRepresentation
bin1000101101111011…
…1010100010100100
320001002101021122100
42023132322202210
514243033341444
61024113132100
7111663560133
oct21336724244
96032337570
102340137124
11aa0a45726
1255385a030
132b3a89230
14182b1991a
15da69de69
hex8b7ba8a4

2340137124 has 72 divisors (see below), whose sum is σ = 6411150200. Its totient is φ = 715433472.

The previous prime is 2340137123. The next prime is 2340137213. The reversal of 2340137124 is 4217310432.

It is a happy number.

2340137124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 19980900 + 2320156224 = 4470^2 + 48168^2 .

It is a super-3 number, since 3×23401371243 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2340137123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57552 + ... + 89400.

Almost surely, 22340137124 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 2340137124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3205575100).

2340137124 is an abundant number, since it is smaller than the sum of its proper divisors (4071013076).

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

2340137124 is a wasteful number, since it uses less digits than its factorization.

2340137124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32029 (or 32024 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2340137124 is about 48374.9638139400. The cubic root of 2340137124 is about 1327.6403264897.

Adding to 2340137124 its reverse (4217310432), we get a palindrome (6557447556).

The spelling of 2340137124 in words is "two billion, three hundred forty million, one hundred thirty-seven thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 157 234 314 468 471 628 942 1413 1884 2041 2826 4082 5652 6123 8164 12246 18369 24492 31849 36738 63698 73476 95547 127396 191094 286641 382188 414037 573282 828074 1146564 1242111 1656148 2484222 3726333 4968444 5000293 7452666 10000586 14905332 15000879 20001172 30001758 45002637 60003516 65003809 90005274 130007618 180010548 195011427 260015236 390022854 585034281 780045708 1170068562 2340137124