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336423040 = 2754112821
BaseRepresentation
bin10100000011010…
…110100010000000
3212110001001122121
4110003112202000
51142111014130
653214414024
711223356122
oct2403264200
9773031577
10336423040
111629a1678
1294801314
13549114b5
1432975212
151e805d7a
hex140d6880

336423040 has 64 divisors (see below), whose sum is σ = 823941720. Its totient is φ = 131276800.

The previous prime is 336423037. The next prime is 336423049. The reversal of 336423040 is 40324633.

It can be written as a sum of positive squares in 4 ways, for example, as 92313664 + 244109376 = 9608^2 + 15624^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3364230402 = 226360923685683200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 336422996 and 336423014.

It is not an unprimeable number, because it can be changed into a prime (336423049) 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, 19830 + ... + 32650.

Almost surely, 2336423040 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 336423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411970860).

336423040 is an abundant number, since it is smaller than the sum of its proper divisors (487518680).

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

336423040 is a wasteful number, since it uses less digits than its factorization.

336423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12881 (or 12869 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

The square root of 336423040 is about 18341.8385119922. The cubic root of 336423040 is about 695.4969721520.

Adding to 336423040 its reverse (40324633), we get a palindrome (376747673).

The spelling of 336423040 in words is "three hundred thirty-six million, four hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 128 160 164 205 320 328 410 640 656 820 1312 1640 2624 3280 5248 6560 12821 13120 25642 26240 51284 64105 102568 128210 205136 256420 410272 512840 525661 820544 1025680 1051322 1641088 2051360 2102644 2628305 4102720 4205288 5256610 8205440 8410576 10513220 16821152 21026440 33642304 42052880 67284608 84105760 168211520 336423040