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2345271104 = 26117942169
BaseRepresentation
bin1000101111001001…
…1111111101000000
320001110001010010202
42023302133331000
514300342133404
61024415144332
7112055322041
oct21362377500
96043033122
102345271104
11aa3931990
125555150a8
132b4b65ca7
141836948c8
15dad6521e
hex8bc9ff40

2345271104 has 56 divisors (see below), whose sum is σ = 5141366400. Its totient is φ = 1052513280.

The previous prime is 2345271101. The next prime is 2345271109. The reversal of 2345271104 is 4011725432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2345271101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34532 + ... + 76700.

Almost surely, 22345271104 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 2345271104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2570683200).

2345271104 is an abundant number, since it is smaller than the sum of its proper divisors (2796095296).

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

2345271104 is a wasteful number, since it uses less digits than its factorization.

2345271104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42271 (or 42261 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 2345271104 is about 48427.9991740315. Note that the first 3 decimals coincide. The cubic root of 2345271104 is about 1328.6105118586.

Adding to 2345271104 its reverse (4011725432), we get a palindrome (6356996536).

The spelling of 2345271104 in words is "two billion, three hundred forty-five million, two hundred seventy-one thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 79 88 158 176 316 352 632 704 869 1264 1738 2528 3476 5056 6952 13904 27808 42169 55616 84338 168676 337352 463859 674704 927718 1349408 1855436 2698816 3331351 3710872 6662702 7421744 13325404 14843488 26650808 29686976 36644861 53301616 73289722 106603232 146579444 213206464 293158888 586317776 1172635552 2345271104