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114304152 = 23319279167
BaseRepresentation
bin1101101000000…
…10010010011000
321222002020211010
412310002102120
5213230213102
615201533520
72555366154
oct664022230
9258066733
10114304152
1159581446
12323442a0
131a8b14c1
1411276064
15a07cd6c
hex6d02498

114304152 has 96 divisors (see below), whose sum is σ = 307238400. Its totient is φ = 35425728.

The previous prime is 114304129. The next prime is 114304153. The reversal of 114304152 is 251403411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114304153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 684373 + ... + 684539.

It is an arithmetic number, because the mean of its divisors is an integer number (3200400).

Almost surely, 2114304152 is an apocalyptic number.

114304152 is a gapful number since it is divisible by the number (12) 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 114304152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153619200).

114304152 is an abundant number, since it is smaller than the sum of its proper divisors (192934248).

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

114304152 is a wasteful number, since it uses less digits than its factorization.

114304152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 114304152 is about 10691.3119868424. The cubic root of 114304152 is about 485.3115962738.

Adding to 114304152 its reverse (251403411), we get a palindrome (365707563).

The spelling of 114304152 in words is "one hundred fourteen million, three hundred four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 79 114 152 158 167 228 237 316 334 361 456 474 501 632 668 722 948 1002 1083 1336 1444 1501 1896 2004 2166 2888 3002 3173 4008 4332 4503 6004 6346 8664 9006 9519 12008 12692 13193 18012 19038 25384 26386 28519 36024 38076 39579 52772 57038 60287 76152 79158 85557 105544 114076 120574 158316 171114 180861 228152 241148 250667 316632 342228 361722 482296 501334 684456 723444 752001 1002668 1446888 1504002 2005336 3008004 4762673 6016008 9525346 14288019 19050692 28576038 38101384 57152076 114304152