Search a number
-
+
332235840 = 2635346079
BaseRepresentation
bin10011110011011…
…000010001000000
3212011011022220010
4103303120101000
51140023021330
652544544520
711142646416
oct2363302100
9764138803
10332235840
111605a1782
1293322140
1353aa6671
14321a52b6
151e27a3b0
hex13cd8440

332235840 has 56 divisors (see below), whose sum is σ = 1054851840. Its totient is φ = 88595968.

The previous prime is 332235769. The next prime is 332235857. The reversal of 332235840 is 48532233.

332235840 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 2×3322358402 = 220761306761011200, 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 = 332235798 and 332235807.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 172080 + ... + 173999.

It is an arithmetic number, because the mean of its divisors is an integer number (18836640).

Almost surely, 2332235840 is an apocalyptic number.

332235840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

332235840 is an abundant number, since it is smaller than the sum of its proper divisors (722616000).

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

332235840 is a wasteful number, since it uses less digits than its factorization.

332235840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346099 (or 346089 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 332235840 is about 18227.3377101539. The cubic root of 332235840 is about 692.5994782956.

The spelling of 332235840 in words is "three hundred thirty-two million, two hundred thirty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 346079 692158 1038237 1384316 1730395 2076474 2768632 3460790 4152948 5191185 5537264 6921580 8305896 10382370 11074528 13843160 16611792 20764740 22149056 27686320 33223584 41529480 55372640 66447168 83058960 110745280 166117920 332235840