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2352064 = 261113257
BaseRepresentation
bin1000111110001111000000
311102111102111
420332033000
51100231224
6122225104
725664221
oct10761700
94374374
102352064
111367160
12955194
13644770
14453248
15316d94
hex23e3c0

2352064 has 56 divisors (see below), whose sum is σ = 5504688. Its totient is φ = 983040.

The previous prime is 2352061. The next prime is 2352073. The reversal of 2352064 is 4602532.

It is a happy number.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2352061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9024 + ... + 9280.

It is an arithmetic number, because the mean of its divisors is an integer number (98298).

22352064 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 2352064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2752344).

2352064 is an abundant number, since it is smaller than the sum of its proper divisors (3152624).

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

2352064 is a wasteful number, since it uses less digits than its factorization.

2352064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 2352064 is about 1533.6440264938. The cubic root of 2352064 is about 132.9892014524.

Adding to 2352064 its reverse (4602532), we get a palindrome (6954596).

The spelling of 2352064 in words is "two million, three hundred fifty-two thousand, sixty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 143 176 208 257 286 352 416 514 572 704 832 1028 1144 2056 2288 2827 3341 4112 4576 5654 6682 8224 9152 11308 13364 16448 22616 26728 36751 45232 53456 73502 90464 106912 147004 180928 213824 294008 588016 1176032 2352064