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9368064 = 293219107
BaseRepresentation
bin100011101111…
…001000000000
3122121221120100
4203233020000
54344234224
6532442400
7142425066
oct43571000
918557510
109368064
115319402
123179400
131c30044
14135c036
15c50ac9
hex8ef200

9368064 has 120 divisors (see below), whose sum is σ = 28725840. Its totient is φ = 2930688.

The previous prime is 9368059. The next prime is 9368069. The reversal of 9368064 is 4608639.

It is an interprime number because it is at equal distance from previous prime (9368059) and next prime (9368069).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (9368069) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87499 + ... + 87605.

It is an arithmetic number, because the mean of its divisors is an integer number (239382).

Almost surely, 29368064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9368064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14362920).

9368064 is an abundant number, since it is smaller than the sum of its proper divisors (19357776).

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

9368064 is a wasteful number, since it uses less digits than its factorization.

9368064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 9368064 is about 3060.7293248505. The cubic root of 9368064 is about 210.8061530609.

The spelling of 9368064 in words is "nine million, three hundred sixty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 107 114 128 144 152 171 192 214 228 256 288 304 321 342 384 428 456 512 576 608 642 684 768 856 912 963 1152 1216 1284 1368 1536 1712 1824 1926 2033 2304 2432 2568 2736 3424 3648 3852 4066 4608 4864 5136 5472 6099 6848 7296 7704 8132 9728 10272 10944 12198 13696 14592 15408 16264 18297 20544 21888 24396 27392 29184 30816 32528 36594 41088 43776 48792 54784 61632 65056 73188 82176 87552 97584 123264 130112 146376 164352 195168 246528 260224 292752 390336 493056 520448 585504 780672 1040896 1171008 1561344 2342016 3122688 4684032 9368064