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114352407 = 32132573803
BaseRepresentation
bin1101101000011…
…10000100010111
321222011201000100
412310032010113
5213233234112
615202545143
72555656641
oct664160427
9258151010
10114352407
1159604724
12323681b3
131a8ca460
1411289891
15a08c2dc
hex6d0e117

114352407 has 24 divisors (see below), whose sum is σ = 178620624. Its totient is φ = 70078464.

The previous prime is 114352391. The next prime is 114352409. The reversal of 114352407 is 704253411.

It is not a de Polignac number, because 114352407 - 24 = 114352391 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114352409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28168 + ... + 31970.

It is an arithmetic number, because the mean of its divisors is an integer number (7442526).

Almost surely, 2114352407 is an apocalyptic number.

114352407 is a deficient number, since it is larger than the sum of its proper divisors (64268217).

114352407 is a wasteful number, since it uses less digits than its factorization.

114352407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4079 (or 4076 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 114352407 is about 10693.5684876471. The cubic root of 114352407 is about 485.3798802219.

The spelling of 114352407 in words is "one hundred fourteen million, three hundred fifty-two thousand, four hundred seven".

Divisors: 1 3 9 13 39 117 257 771 2313 3341 3803 10023 11409 30069 34227 49439 148317 444951 977371 2932113 8796339 12705823 38117469 114352407