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2321145376 = 251173103877
BaseRepresentation
bin1000101001011001…
…1101111000100000
312222202122101212021
42022112131320200
514223203123001
61022154111224
7111343260454
oct21226357040
95882571767
102321145376
11a91253970
1254941b514
132acb69a04
141803b4664
15d8b9bba1
hex8a59de20

2321145376 has 96 divisors (see below), whose sum is σ = 5108358528. Its totient is φ = 1029335040.

The previous prime is 2321145331. The next prime is 2321145397. The reversal of 2321145376 is 6735411232.

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, 2646250 + ... + 2647126.

It is an arithmetic number, because the mean of its divisors is an integer number (53212068).

Almost surely, 22321145376 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 2321145376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2554179264).

2321145376 is an abundant number, since it is smaller than the sum of its proper divisors (2787213152).

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

2321145376 is a wasteful number, since it uses less digits than its factorization.

2321145376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1066 counting only the distinct ones).

The product of its digits is 30240, while the sum is 34.

The square root of 2321145376 is about 48178.2666354862. The cubic root of 2321145376 is about 1324.0390090824.

The spelling of 2321145376 in words is "two billion, three hundred twenty-one million, one hundred forty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 44 73 88 103 146 176 206 292 352 412 584 803 824 877 1133 1168 1606 1648 1754 2266 2336 3212 3296 3508 4532 6424 7016 7519 9064 9647 12848 14032 15038 18128 19294 25696 28064 30076 36256 38588 60152 64021 77176 82709 90331 120304 128042 154352 165418 180662 240608 256084 308704 330836 361324 512168 661672 704231 722648 993641 1024336 1323344 1408462 1445296 1987282 2048672 2646688 2816924 2890592 3974564 5633848 6594163 7949128 11267696 13188326 15898256 22535392 26376652 31796512 52753304 72535793 105506608 145071586 211013216 290143172 580286344 1160572688 2321145376