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332119040 = 2105115897
BaseRepresentation
bin10011110010111…
…011110000000000
3212010221101200012
4103302323300000
51140010302130
652542244052
711141652041
oct2362736000
9763841605
10332119040
11160521a50
1293286628
1353a65456
14321748c8
151e255995
hex13cbbc00

332119040 has 88 divisors (see below), whose sum is σ = 869270832. Its totient is φ = 120750080.

The previous prime is 332119037. The next prime is 332119127. The reversal of 332119040 is 40911233.

332119040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (88).

It is a super-2 number, since 2×3321190402 = 220606113461043200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332118997 and 332119015.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 53372 + ... + 59268.

Almost surely, 2332119040 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 332119040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434635416).

332119040 is an abundant number, since it is smaller than the sum of its proper divisors (537151792).

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

332119040 is a wasteful number, since it uses less digits than its factorization.

332119040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5933 (or 5915 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 332119040 is about 18224.1334499065. The cubic root of 332119040 is about 692.5183059365.

The spelling of 332119040 in words is "three hundred thirty-two million, one hundred nineteen thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1024 1280 1408 1760 2560 2816 3520 5120 5632 5897 7040 11264 11794 14080 23588 28160 29485 47176 56320 58970 64867 94352 117940 129734 188704 235880 259468 324335 377408 471760 518936 648670 754816 943520 1037872 1297340 1509632 1887040 2075744 2594680 3019264 3774080 4151488 5189360 6038528 7548160 8302976 10378720 15096320 16605952 20757440 30192640 33211904 41514880 66423808 83029760 166059520 332119040