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114303504 = 24371093121
BaseRepresentation
bin1101101000000…
…10001000010000
321222002012221010
412310002020100
5213230203004
615201530520
72555364240
oct664021020
9258065833
10114303504
1159580a07
1232343a40
131a8b1113
1411275b20
15a07ca89
hex6d02210

114303504 has 80 divisors (see below), whose sum is σ = 340672640. Its totient is φ = 32348160.

The previous prime is 114303451. The next prime is 114303517. The reversal of 114303504 is 405303411.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 35064 + ... + 38184.

It is an arithmetic number, because the mean of its divisors is an integer number (4258408).

Almost surely, 2114303504 is an apocalyptic number.

114303504 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 114303504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170336320).

114303504 is an abundant number, since it is smaller than the sum of its proper divisors (226369136).

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

114303504 is a wasteful number, since it uses less digits than its factorization.

114303504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3248 (or 3242 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 114303504 is about 10691.2816818191. The cubic root of 114303504 is about 485.3106791811.

Adding to 114303504 its reverse (405303411), we get a palindrome (519606915).

The spelling of 114303504 in words is "one hundred fourteen million, three hundred three thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 109 112 168 218 327 336 436 654 763 872 1308 1526 1744 2289 2616 3052 3121 4578 5232 6104 6242 9156 9363 12208 12484 18312 18726 21847 24968 36624 37452 43694 49936 65541 74904 87388 131082 149808 174776 262164 340189 349552 524328 680378 1020567 1048656 1360756 2041134 2381323 2721512 4082268 4762646 5443024 7143969 8164536 9525292 14287938 16329072 19050584 28575876 38101168 57151752 114303504