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336004064 = 25114379281
BaseRepresentation
bin10100000001110…
…000001111100000
3212102020202220222
4110001300033200
51142004112224
653201422212
711216662454
oct2401601740
9772222828
10336004064
11162735910
129463a968
13547c5896
14328a6664
151e771b5e
hex140703e0

336004064 has 96 divisors (see below), whose sum is σ = 750435840. Its totient is φ = 146764800.

The previous prime is 336004057. The next prime is 336004069. The reversal of 336004064 is 460400633.

It is a super-2 number, since 2×3360040642 = 225797462049032192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (336004069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1195604 + ... + 1195884.

It is an arithmetic number, because the mean of its divisors is an integer number (7817040).

Almost surely, 2336004064 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 336004064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375217920).

336004064 is an abundant number, since it is smaller than the sum of its proper divisors (414431776).

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

336004064 is a wasteful number, since it uses less digits than its factorization.

336004064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The square root of 336004064 is about 18330.4136341764. The cubic root of 336004064 is about 695.2081318573.

Adding to 336004064 its reverse (460400633), we get a palindrome (796404697).

The spelling of 336004064 in words is "three hundred thirty-six million, four thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 32 43 44 79 86 88 158 172 176 281 316 344 352 473 562 632 688 869 946 1124 1264 1376 1738 1892 2248 2528 3091 3397 3476 3784 4496 6182 6794 6952 7568 8992 12083 12364 13588 13904 15136 22199 24166 24728 27176 27808 37367 44398 48332 49456 54352 74734 88796 96664 98912 108704 132913 149468 177592 193328 244189 265826 298936 355184 386656 488378 531652 597872 710368 954557 976756 1063304 1195744 1909114 1953512 2126608 3818228 3907024 4253216 7636456 7814048 10500127 15272912 21000254 30545824 42000508 84001016 168002032 336004064