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332856540 = 2235568489
BaseRepresentation
bin10011110101101…
…111110011011100
3212012022212100000
4103311233303130
51140202402130
653010134300
711151143142
oct2365576334
9765285300
10332856540
11160986055
1293581390
1353c63043
14322c7592
151e34e260
hex13d6fcdc

332856540 has 72 divisors (see below), whose sum is σ = 1047075120. Its totient is φ = 88760448.

The previous prime is 332856527. The next prime is 332856547. The reversal of 332856540 is 45658233.

It is a happy number.

332856540 is a `hidden beast` number, since 3 + 32 + 85 + 6 + 540 = 666.

It is a super-2 number, since 2×3328565402 = 221586952441543200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 332856495 and 332856504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332856547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29385 + ... + 39104.

It is an arithmetic number, because the mean of its divisors is an integer number (14542710).

Almost surely, 2332856540 is an apocalyptic number.

332856540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

332856540 is an abundant number, since it is smaller than the sum of its proper divisors (714218580).

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

332856540 is a wasteful number, since it uses less digits than its factorization.

332856540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68513 (or 68499 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 332856540 is about 18244.3563876614. The cubic root of 332856540 is about 693.0305265689.

The spelling of 332856540 in words is "three hundred thirty-two million, eight hundred fifty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 68489 136978 205467 273956 342445 410934 616401 684890 821868 1027335 1232802 1369780 1849203 2054670 2465604 3082005 3698406 4109340 5547609 6164010 7396812 9246015 11095218 12328020 16642827 18492030 22190436 27738045 33285654 36984060 55476090 66571308 83214135 110952180 166428270 332856540