Search a number
-
+
332874750 = 23531334141
BaseRepresentation
bin10011110101110…
…100001111111110
3212012100210022110
4103311310033332
51140203443000
653010354450
711151250215
oct2365641776
9765323273
10332874750
111609987aa
129358ba26
1353c6b410
14322d007c
151e354850
hex13d743fe

332874750 has 64 divisors (see below), whose sum is σ = 894793536. Its totient is φ = 81936000.

The previous prime is 332874749. The next prime is 332874761. The reversal of 332874750 is 57478233.

332874750 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3328747502 = 221611198375125000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 332874699 and 332874708.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7321 + ... + 26820.

It is an arithmetic number, because the mean of its divisors is an integer number (13981149).

Almost surely, 2332874750 is an apocalyptic number.

332874750 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

332874750 is an abundant number, since it is smaller than the sum of its proper divisors (561918786).

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

332874750 is a wasteful number, since it uses less digits than its factorization.

332874750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34174 (or 34164 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The square root of 332874750 is about 18244.8554392738. The cubic root of 332874750 is about 693.0431645017.

The spelling of 332874750 in words is "three hundred thirty-two million, eight hundred seventy-four thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 125 130 150 195 250 325 375 390 650 750 975 1625 1950 3250 4875 9750 34141 68282 102423 170705 204846 341410 443833 512115 853525 887666 1024230 1331499 1707050 2219165 2560575 2662998 4267625 4438330 5121150 6657495 8535250 11095825 12802875 13314990 22191650 25605750 33287475 55479125 66574950 110958250 166437375 332874750