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2023024344 = 23311171014463
BaseRepresentation
bin111100010010100…
…1110011011011000
312012222200021200120
41320211032123120
513120343234334
6532424233240
7101063265105
oct17045163330
95188607616
102023024344
11948a43150
1248560b820
13263179233
1415296daac
15bc90e949
hex7894e6d8

2023024344 has 128 divisors (see below), whose sum is σ = 5901050880. Its totient is φ = 571136000.

The previous prime is 2023024309. The next prime is 2023024351. The reversal of 2023024344 is 4434203202.

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, 451057 + ... + 455519.

It is an arithmetic number, because the mean of its divisors is an integer number (46101960).

Almost surely, 22023024344 is an apocalyptic number.

2023024344 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 2023024344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2950525440).

2023024344 is an abundant number, since it is smaller than the sum of its proper divisors (3878026536).

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

2023024344 is a wasteful number, since it uses less digits than its factorization.

2023024344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4601 (or 4597 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 2023024344 is about 44978.0429098466. The cubic root of 2023024344 is about 1264.7374238763.

Adding to 2023024344 its reverse (4434203202), we get a palindrome (6457227546).

The spelling of 2023024344 in words is "two billion, twenty-three million, twenty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 101 102 132 136 187 202 204 264 303 374 404 408 561 606 748 808 1111 1122 1212 1496 1717 2222 2244 2424 3333 3434 4444 4463 4488 5151 6666 6868 8888 8926 10302 13332 13389 13736 17852 18887 20604 26664 26778 35704 37774 41208 49093 53556 56661 75548 75871 98186 107112 113322 147279 151096 151742 196372 226644 227613 294558 303484 392744 450763 453288 455226 589116 606968 834581 901526 910452 1178232 1352289 1669162 1803052 1820904 2503743 2704578 3338324 3606104 4958393 5007486 5409156 6676648 7662971 9916786 10014972 10818312 14875179 15325942 19833572 20029944 22988913 29750358 30651884 39667144 45977826 59500716 61303768 84292681 91955652 119001432 168585362 183911304 252878043 337170724 505756086 674341448 1011512172 2023024344