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332493040 = 24511478039
BaseRepresentation
bin10011110100010…
…111000011110000
3212011122101201001
4103310113003300
51140104234130
652554251344
711145100315
oct2364270360
9764571631
10332493040
11160757a40
1293426b54
1353b66759
1432230d0c
151e2cb6ca
hex13d170f0

332493040 has 80 divisors (see below), whose sum is σ = 861373440. Its totient is φ = 118319360.

The previous prime is 332493017. The next prime is 332493041. The reversal of 332493040 is 40394233.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3324930402 = 221103243296883200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332493041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37341 + ... + 45379.

It is an arithmetic number, because the mean of its divisors is an integer number (10767168).

Almost surely, 2332493040 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 332493040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430686720).

332493040 is an abundant number, since it is smaller than the sum of its proper divisors (528880400).

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

332493040 is a wasteful number, since it uses less digits than its factorization.

332493040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8110 (or 8104 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

The square root of 332493040 is about 18234.3916816548. The cubic root of 332493040 is about 692.7781572299.

The spelling of 332493040 in words is "three hundred thirty-two million, four hundred ninety-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 47 55 80 88 94 110 176 188 220 235 376 440 470 517 752 880 940 1034 1880 2068 2585 3760 4136 5170 8039 8272 10340 16078 20680 32156 40195 41360 64312 80390 88429 128624 160780 176858 321560 353716 377833 442145 643120 707432 755666 884290 1414864 1511332 1768580 1889165 3022664 3537160 3778330 4156163 6045328 7074320 7556660 8312326 15113320 16624652 20780815 30226640 33249304 41561630 66498608 83123260 166246520 332493040