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114434010 = 232510112589
BaseRepresentation
bin1101101001000…
…01111111011010
321222022211221200
412310201333122
5213243342020
615204415030
72556446565
oct664417732
9258284850
10114434010
115965aa69
12323a7476
131a928642
14112ab4dc
15a0a6590
hex6d21fda

114434010 has 48 divisors (see below), whose sum is σ = 300498120. Its totient is φ = 30211200.

The previous prime is 114433999. The next prime is 114434027. The reversal of 114434010 is 10434411.

It can be written as a sum of positive squares in 4 ways, for example, as 95589729 + 18844281 = 9777^2 + 4341^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2796 + ... + 15384.

Almost surely, 2114434010 is an apocalyptic number.

114434010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114434010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150249060).

114434010 is an abundant number, since it is smaller than the sum of its proper divisors (186064110).

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

114434010 is a wasteful number, since it uses less digits than its factorization.

114434010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12703 (or 12700 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 114434010 is about 10697.3833249071. The cubic root of 114434010 is about 485.4953100512.

Adding to 114434010 its reverse (10434411), we get a palindrome (124868421).

The spelling of 114434010 in words is "one hundred fourteen million, four hundred thirty-four thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 909 1010 1515 1818 3030 4545 9090 12589 25178 37767 62945 75534 113301 125890 188835 226602 377670 566505 1133010 1271489 2542978 3814467 6357445 7628934 11443401 12714890 19072335 22886802 38144670 57217005 114434010