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2314442104 = 2313671931721
BaseRepresentation
bin1000100111110011…
…1001010101111000
312222022000211200221
42021330321111320
514214444121404
61021354305424
7111232301422
oct21174712570
95868024627
102314442104
11a88495677
12547128274
132ab660890
1417d54b812
15d82c5954
hex89f39578

2314442104 has 64 divisors (see below), whose sum is σ = 4770491040. Its totient is φ = 1046200320.

The previous prime is 2314442083. The next prime is 2314442153. The reversal of 2314442104 is 4012444132.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1343964 + ... + 1345684.

Almost surely, 22314442104 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 2314442104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2385245520).

2314442104 is an abundant number, since it is smaller than the sum of its proper divisors (2456048936).

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

2314442104 is a wasteful number, since it uses less digits than its factorization.

2314442104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 2314442104 is about 48108.6489521375. The cubic root of 2314442104 is about 1322.7632091780.

Adding to 2314442104 its reverse (4012444132), we get a palindrome (6326886236).

The spelling of 2314442104 in words is "two billion, three hundred fourteen million, four hundred forty-two thousand, one hundred four".

Divisors: 1 2 4 8 13 26 52 67 104 134 193 268 386 536 772 871 1544 1721 1742 2509 3442 3484 5018 6884 6968 10036 12931 13768 20072 22373 25862 44746 51724 89492 103448 115307 168103 178984 230614 332153 336206 461228 664306 672412 922456 1328612 1344824 1498991 2657224 2997982 4317989 5995964 8635978 11991928 17271956 22254251 34543912 44508502 89017004 178034008 289305263 578610526 1157221052 2314442104