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2296360704 = 283112291187
BaseRepresentation
bin1000100011011111…
…1010111100000000
312221001000012200110
42020313322330000
514200332020304
61015510551320
7110622513111
oct21067727400
95831005613
102296360704
11a79265870
12541068540
132a799c821
1417ada2208
15d6903289
hex88dfaf00

2296360704 has 144 divisors (see below), whose sum is σ = 6702030720. Its totient is φ = 692244480.

The previous prime is 2296360669. The next prime is 2296360753. The reversal of 2296360704 is 4070636922.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1933999 + ... + 1935185.

It is an arithmetic number, because the mean of its divisors is an integer number (46541880).

Almost surely, 22296360704 is an apocalyptic number.

2296360704 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 2296360704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3351015360).

2296360704 is an abundant number, since it is smaller than the sum of its proper divisors (4405670016).

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

2296360704 is a wasteful number, since it uses less digits than its factorization.

2296360704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 2296360704 is about 47920.3579285464. The cubic root of 2296360704 is about 1319.3095378878.

The spelling of 2296360704 in words is "two billion, two hundred ninety-six million, three hundred sixty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 229 256 264 352 384 458 528 687 704 768 916 1056 1187 1374 1408 1832 2112 2374 2519 2748 2816 3561 3664 4224 4748 5038 5496 7122 7328 7557 8448 9496 10076 10992 13057 14244 14656 15114 18992 20152 21984 26114 28488 29312 30228 37984 39171 40304 43968 52228 56976 58624 60456 75968 78342 80608 87936 104456 113952 120912 151936 156684 161216 175872 208912 227904 241824 271823 303872 313368 322432 417824 455808 483648 543646 626736 644864 815469 835648 911616 967296 1087292 1253472 1630938 1671296 1934592 2174584 2506944 2990053 3261876 3342592 4349168 5013888 5980106 6523752 8698336 8970159 10027776 11960212 13047504 17396672 17940318 23920424 26095008 34793344 35880636 47840848 52190016 69586688 71761272 95681696 104380032 143522544 191363392 208760064 287045088 382726784 574090176 765453568 1148180352 2296360704