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2324234240 = 216541173
BaseRepresentation
bin1000101010001001…
…0000000000000000
312222222110022222122
42022202100000000
514230000443430
61022344223412
7111411444056
oct21242200000
95888408878
102324234240
11a92a73649
1254a46ab68
132b06ab943
1418097a1d6
15d90abee5
hex8a890000

2324234240 has 136 divisors (see below), whose sum is σ = 5747201208. Its totient is φ = 901775360.

The previous prime is 2324234219. The next prime is 2324234287. The reversal of 2324234240 is 424324232.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 177209344 + 2147024896 = 13312^2 + 46336^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13434794 + ... + 13434966.

Almost surely, 22324234240 is an apocalyptic number.

2324234240 is a gapful number since it is divisible by the number (20) 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 2324234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2873600604).

2324234240 is an abundant number, since it is smaller than the sum of its proper divisors (3422966968).

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

2324234240 is an frugal number, since it uses more digits than its factorization.

2324234240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

The square root of 2324234240 is about 48210.3125897354. The cubic root of 2324234240 is about 1324.6260703461.

Adding to 2324234240 its reverse (424324232), we get a palindrome (2748558472).

The spelling of 2324234240 in words is "two billion, three hundred twenty-four million, two hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 128 160 164 173 205 256 320 328 346 410 512 640 656 692 820 865 1024 1280 1312 1384 1640 1730 2048 2560 2624 2768 3280 3460 4096 5120 5248 5536 6560 6920 7093 8192 10240 10496 11072 13120 13840 14186 16384 20480 20992 22144 26240 27680 28372 32768 35465 40960 41984 44288 52480 55360 56744 65536 70930 81920 83968 88576 104960 110720 113488 141860 163840 167936 177152 209920 221440 226976 283720 327680 335872 354304 419840 442880 453952 567440 671744 708608 839680 885760 907904 1134880 1343488 1417216 1679360 1771520 1815808 2269760 2686976 2834432 3358720 3543040 3631616 4539520 5668864 6717440 7086080 7263232 9079040 11337728 13434880 14172160 14526464 18158080 28344320 29052928 36316160 56688640 58105856 72632320 116211712 145264640 232423424 290529280 464846848 581058560 1162117120 2324234240