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2304373152 = 253471573253
BaseRepresentation
bin1000100101011001…
…1111000110100000
312221121002021200210
42021112133012200
514204404420102
61020354414120
7111050564034
oct21126370640
95847067623
102304373152
11a82838724
12543891340
132a9546813
1417c08a1c4
15d748736c
hex8959f1a0

2304373152 has 96 divisors (see below), whose sum is σ = 6218940672. Its totient is φ = 746763264.

The previous prime is 2304373133. The next prime is 2304373163. The reversal of 2304373152 is 2513734032.

It is a tau number, because it is divible by the number of its divisors (96).

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, 706758 + ... + 710010.

It is an arithmetic number, because the mean of its divisors is an integer number (64780632).

Almost surely, 22304373152 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 2304373152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3109470336).

2304373152 is an abundant number, since it is smaller than the sum of its proper divisors (3914567520).

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

2304373152 is a wasteful number, since it uses less digits than its factorization.

2304373152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3470 (or 3462 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 2304373152 is about 48003.8868426297. The cubic root of 2304373152 is about 1320.8421989933.

The spelling of 2304373152 in words is "two billion, three hundred four million, three hundred seventy-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 157 188 282 314 376 471 564 628 752 942 1128 1256 1504 1884 2256 2512 3253 3768 4512 5024 6506 7379 7536 9759 13012 14758 15072 19518 22137 26024 29516 39036 44274 52048 59032 78072 88548 104096 118064 152891 156144 177096 236128 305782 312288 354192 458673 510721 611564 708384 917346 1021442 1223128 1532163 1834692 2042884 2446256 3064326 3669384 4085768 4892512 6128652 7338768 8171536 12257304 14677536 16343072 24003887 24514608 48007774 49029216 72011661 96015548 144023322 192031096 288046644 384062192 576093288 768124384 1152186576 2304373152