Search a number
-
+
2024353072 = 24733173163
BaseRepresentation
bin111100010101001…
…0010110100110000
312020002011210100201
41320222102310300
513121213244242
6532512524544
7101110501000
oct17052226460
95202153321
102024353072
11949770475
12485b50754
13263522c71
14152bd8000
15bcac34b7
hex78a92d30

2024353072 has 160 divisors (see below), whose sum is σ = 4815564800. Its totient is φ = 823011840.

The previous prime is 2024353057. The next prime is 2024353109. The reversal of 2024353072 is 2703534202.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 2024353072.

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, 12419263 + ... + 12419425.

It is an arithmetic number, because the mean of its divisors is an integer number (30097280).

Almost surely, 22024353072 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 2024353072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2407782400).

2024353072 is an abundant number, since it is smaller than the sum of its proper divisors (2791211728).

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

2024353072 is a wasteful number, since it uses less digits than its factorization.

2024353072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 28.

The square root of 2024353072 is about 44992.8113369236. The cubic root of 2024353072 is about 1265.0142576260.

Adding to 2024353072 its reverse (2703534202), we get a palindrome (4727887274).

The spelling of 2024353072 in words is "two billion, twenty-four million, three hundred fifty-three thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 31 49 56 62 73 98 112 124 146 163 196 217 248 292 326 343 392 434 496 511 584 652 686 784 868 1022 1141 1168 1304 1372 1519 1736 2044 2263 2282 2608 2744 3038 3472 3577 4088 4526 4564 5053 5488 6076 7154 7987 8176 9052 9128 10106 10633 11899 12152 14308 15841 15974 18104 18256 20212 21266 23798 24304 25039 28616 31682 31948 35371 36208 40424 42532 47596 50078 55909 57232 63364 63896 70742 80848 83293 85064 95192 100156 110887 111818 126728 127792 141484 166586 170128 190384 200312 221774 223636 247597 253456 282968 333172 368869 400624 443548 447272 495194 565936 583051 666344 737738 776209 887096 894544 990388 1166102 1332688 1475476 1552418 1733179 1774192 1980776 2332204 2582083 2950952 3104836 3466358 3961552 4081357 4664408 5164166 5901904 6209672 6932716 8162714 9328816 10328332 12419344 13865432 16325428 18074581 20656664 27730864 32650856 36149162 41313328 65301712 72298324 126522067 144596648 253044134 289193296 506088268 1012176536 2024353072