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332245040 = 24561103661
BaseRepresentation
bin10011110011011…
…010100000110000
3212011011210111212
4103303122200300
51140023320130
652545055252
711143015301
oct2363324060
9764153455
10332245040
111605a8686
1293327528
1353aaa8ca
14321a87a8
151e27ce95
hex13cda830

332245040 has 80 divisors (see below), whose sum is σ = 793955136. Its totient is φ = 129254400.

The previous prime is 332245033. The next prime is 332245057. The reversal of 332245040 is 40542233.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3322450402 = 220773533209203200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332244997 and 332245015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 502310 + ... + 502970.

Almost surely, 2332245040 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 332245040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396977568).

332245040 is an abundant number, since it is smaller than the sum of its proper divisors (461710096).

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

332245040 is a wasteful number, since it uses less digits than its factorization.

332245040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

The square root of 332245040 is about 18227.5900765845. The cubic root of 332245040 is about 692.6058712005.

Adding to 332245040 its reverse (40542233), we get a palindrome (372787273).

The spelling of 332245040 in words is "three hundred thirty-two million, two hundred forty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 103 122 206 244 305 412 488 515 610 661 824 976 1030 1220 1322 1648 2060 2440 2644 3305 4120 4880 5288 6283 6610 8240 10576 12566 13220 25132 26440 31415 40321 50264 52880 62830 68083 80642 100528 125660 136166 161284 201605 251320 272332 322568 340415 403210 502640 544664 645136 680830 806420 1089328 1361660 1612840 2723320 3225680 4153063 5446640 8306126 16612252 20765315 33224504 41530630 66449008 83061260 166122520 332245040