Search a number
-
+
326704440 = 233515717341
BaseRepresentation
bin10011011110010…
…001110100111000
3211202202022020110
4103132101310320
51132114020230
652230224320
711044641036
oct2336216470
9752668213
10326704440
11158463977
12914b50a0
13528baa4a
1431565556
151da364b0
hex13791d38

326704440 has 64 divisors (see below), whose sum is σ = 986412960. Its totient is φ = 86561280.

The previous prime is 326704423. The next prime is 326704447. The reversal of 326704440 is 44407623.

It is a super-2 number, since 2×3267044402 = 213471582231427200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 326704398 and 326704407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (326704447) 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, 10170 + ... + 27510.

Almost surely, 2326704440 is an apocalyptic number.

326704440 is a gapful number since it is divisible by the number (30) 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 326704440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493206480).

326704440 is an abundant number, since it is smaller than the sum of its proper divisors (659708520).

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

326704440 is a wasteful number, since it uses less digits than its factorization.

326704440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17512 (or 17508 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 326704440 is about 18074.9672198873. The cubic root of 326704440 is about 688.7342474408.

The spelling of 326704440 in words is "three hundred twenty-six million, seven hundred four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 157 314 471 628 785 942 1256 1570 1884 2355 3140 3768 4710 6280 9420 17341 18840 34682 52023 69364 86705 104046 138728 173410 208092 260115 346820 416184 520230 693640 1040460 2080920 2722537 5445074 8167611 10890148 13612685 16335222 21780296 27225370 32670444 40838055 54450740 65340888 81676110 108901480 163352220 326704440