Search a number
-
+
332461020 = 223517332029
BaseRepresentation
bin10011110100001…
…111001111011100
3212011120202210010
4103310033033130
51140102223040
652553443220
711144605053
oct2364171734
9764522703
10332461020
11160735981
1293410510
1353b54cc8
143222339a
151e2c1e80
hex13d0f3dc

332461020 has 48 divisors (see below), whose sum is σ = 936300960. Its totient is φ = 88141056.

The previous prime is 332460983. The next prime is 332461037. The reversal of 332461020 is 20164233.

It is a happy number.

332461020 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 2×3324610202 = 221060659638880800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5635 + ... + 26394.

It is an arithmetic number, because the mean of its divisors is an integer number (19506270).

Almost surely, 2332461020 is an apocalyptic number.

332461020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

332461020 is an abundant number, since it is smaller than the sum of its proper divisors (603839940).

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

332461020 is a wasteful number, since it uses less digits than its factorization.

332461020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32214 (or 32212 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 332461020 is about 18233.5136493217. The cubic root of 332461020 is about 692.7559176980.

The spelling of 332461020 in words is "three hundred thirty-two million, four hundred sixty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 173 346 519 692 865 1038 1730 2076 2595 3460 5190 10380 32029 64058 96087 128116 160145 192174 320290 384348 480435 640580 960870 1921740 5541017 11082034 16623051 22164068 27705085 33246102 55410170 66492204 83115255 110820340 166230510 332461020