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2340153312 = 25374774093
BaseRepresentation
bin1000101101111011…
…1110011111100000
320001002102002211220
42023132332133200
514243034401222
61024113335040
7111663655260
oct21336763740
96032362756
102340153312
11aa0a56902
12553867480
132b3a93703
14182b217a0
15da6a3b5c
hex8b7be7e0

2340153312 has 96 divisors (see below), whose sum is σ = 7169928192. Its totient is φ = 654380544.

The previous prime is 2340153293. The next prime is 2340153317. The reversal of 2340153312 is 2133510432.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2340153317) 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 15 ways as a sum of consecutive naturals, for example, 5463 + ... + 68630.

It is an arithmetic number, because the mean of its divisors is an integer number (74686752).

Almost surely, 22340153312 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 2340153312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3584964096).

2340153312 is an abundant number, since it is smaller than the sum of its proper divisors (4829774880).

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

2340153312 is a wasteful number, since it uses less digits than its factorization.

2340153312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74160 (or 74152 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 2340153312 is about 48375.1311316052. The cubic root of 2340153312 is about 1327.6433878192.

Adding to 2340153312 its reverse (2133510432), we get a palindrome (4473663744).

The spelling of 2340153312 in words is "two billion, three hundred forty million, one hundred fifty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 84 94 96 112 141 168 188 224 282 329 336 376 564 658 672 752 987 1128 1316 1504 1974 2256 2632 3948 4512 5264 7896 10528 15792 31584 74093 148186 222279 296372 444558 518651 592744 889116 1037302 1185488 1555953 1778232 2074604 2370976 3111906 3482371 3556464 4149208 6223812 6964742 7112928 8298416 10447113 12447624 13929484 16596832 20894226 24376597 24895248 27858968 41788452 48753194 49790496 55717936 73129791 83576904 97506388 111435872 146259582 167153808 195012776 292519164 334307616 390025552 585038328 780051104 1170076656 2340153312