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114401784 = 23372512713
BaseRepresentation
bin1101101000110…
…10000111111000
321222021012202010
412310122013320
5213241324114
615204005520
72556253620
oct664320770
9258235663
10114401784
1159638832
12323908a0
131a916a83
141129d880
15a09bc59
hex6d1a1f8

114401784 has 64 divisors (see below), whose sum is σ = 328285440. Its totient is φ = 32544000.

The previous prime is 114401773. The next prime is 114401809. The reversal of 114401784 is 487104411.

It is a congruent number.

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, 40812 + ... + 43524.

It is an arithmetic number, because the mean of its divisors is an integer number (5129460).

Almost surely, 2114401784 is an apocalyptic number.

114401784 is a gapful number since it is divisible by the number (14) 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 114401784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164142720).

114401784 is an abundant number, since it is smaller than the sum of its proper divisors (213883656).

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

114401784 is a wasteful number, since it uses less digits than its factorization.

114401784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2980 (or 2976 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 114401784 is about 10695.8769626431. The cubic root of 114401784 is about 485.4497319905.

The spelling of 114401784 in words is "one hundred fourteen million, four hundred one thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 251 502 753 1004 1506 1757 2008 2713 3012 3514 5271 5426 6024 7028 8139 10542 10852 14056 16278 18991 21084 21704 32556 37982 42168 56973 65112 75964 113946 151928 227892 455784 680963 1361926 2042889 2723852 4085778 4766741 5447704 8171556 9533482 14300223 16343112 19066964 28600446 38133928 57200892 114401784