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2341032144 = 2431143971063
BaseRepresentation
bin1000101110001001…
…0101000011010000
320001011001202101020
42023202111003100
514243301012034
61024144235440
7112004305413
oct21342250320
96034052336
102341032144
11aa14a7110
1255400bb80
132b4010729
14182cadb7a
15da7c9249
hex8b8950d0

2341032144 has 160 divisors (see below), whose sum is σ = 6826896384. Its totient is φ = 685117440.

The previous prime is 2341032139. The next prime is 2341032151. The reversal of 2341032144 is 4412301432.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2201757 + ... + 2202819.

Almost surely, 22341032144 is an apocalyptic number.

2341032144 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 2341032144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3413448192).

2341032144 is an abundant number, since it is smaller than the sum of its proper divisors (4485864240).

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

2341032144 is a wasteful number, since it uses less digits than its factorization.

2341032144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2341032144 is about 48384.2137892102. The cubic root of 2341032144 is about 1327.8095634652.

Adding to 2341032144 its reverse (4412301432), we get a palindrome (6753333576).

The spelling of 2341032144 in words is "two billion, three hundred forty-one million, thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 43 44 48 66 86 88 97 129 132 172 176 194 258 264 291 344 388 473 516 528 582 688 776 946 1032 1063 1067 1164 1419 1552 1892 2064 2126 2134 2328 2838 3189 3201 3784 4171 4252 4268 4656 5676 6378 6402 7568 8342 8504 8536 11352 11693 12513 12756 12804 16684 17008 17072 22704 23386 25026 25512 25608 33368 35079 45709 45881 46772 50052 51024 51216 66736 70158 91418 91762 93544 100104 103111 137127 137643 140316 182836 183524 187088 200208 206222 274254 275286 280632 309333 365672 367048 412444 502799 548508 550572 561264 618666 731344 734096 824888 1005598 1097016 1101144 1134221 1237332 1508397 1649776 2011196 2194032 2202288 2268442 2474664 3016794 3402663 4022392 4433773 4536884 4949328 6033588 6805326 8044784 8867546 9073768 12067176 13301319 13610652 17735092 18147536 24134352 26602638 27221304 35470184 48771503 53205276 54442608 70940368 97543006 106410552 146314509 195086012 212821104 292629018 390172024 585258036 780344048 1170516072 2341032144