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2306004272 = 2411138312143
BaseRepresentation
bin1000100101110010…
…1101010100110000
312221201011011011122
42021130231110300
514210314114042
61020453401412
7111100466345
oct21134552460
95851134148
102306004272
11a83752160
12544339268
132a9998090
1417c3927cc
15d76aa7d2
hex8972d530

2306004272 has 80 divisors (see below), whose sum is σ = 5312659968. Its totient is φ = 955818240.

The previous prime is 2306004271. The next prime is 2306004277. The reversal of 2306004272 is 2724006032.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (2306004271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183833 + ... + 195975.

Almost surely, 22306004272 is an apocalyptic number.

2306004272 is a gapful number since it is divisible by the number (22) 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 2306004272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2656329984).

2306004272 is an abundant number, since it is smaller than the sum of its proper divisors (3006655696).

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

2306004272 is a wasteful number, since it uses less digits than its factorization.

2306004272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12258 (or 12252 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 26.

The square root of 2306004272 is about 48020.8732948496. The cubic root of 2306004272 is about 1321.1537723732.

The spelling of 2306004272 in words is "two billion, three hundred six million, four thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 83 88 104 143 166 176 208 286 332 572 664 913 1079 1144 1328 1826 2158 2288 3652 4316 7304 8632 11869 12143 14608 17264 23738 24286 47476 48572 94952 97144 133573 157859 189904 194288 267146 315718 534292 631436 1007869 1068584 1262872 1736449 2015738 2137168 2525744 3472898 4031476 6945796 8062952 11086559 13102297 13891592 16125904 22173118 26204594 27783184 44346236 52409188 88692472 104818376 144125267 177384944 209636752 288250534 576501068 1153002136 2306004272