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332870496 = 2537495343
BaseRepresentation
bin10011110101110…
…011001101100000
3212012100120110220
4103311303031200
51140203323441
653010323040
711151231630
oct2365631540
9765316426
10332870496
11160995592
1293589480
1353c694ba
14322cc6c0
151e353466
hex13d73360

332870496 has 48 divisors (see below), whose sum is σ = 998613504. Its totient is φ = 95105664.

The previous prime is 332870491. The next prime is 332870509. The reversal of 332870496 is 694078233.

332870496 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 (48).

It is a super-2 number, since 2×3328704962 = 221605534214572032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332870491) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 247000 + ... + 248343.

It is an arithmetic number, because the mean of its divisors is an integer number (20804448).

Almost surely, 2332870496 is an apocalyptic number.

It is an amenable number.

332870496 is an abundant number, since it is smaller than the sum of its proper divisors (665743008).

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

332870496 is a wasteful number, since it uses less digits than its factorization.

332870496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495363 (or 495355 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 332870496 is about 18244.7388580928. The cubic root of 332870496 is about 693.0402122220.

The spelling of 332870496 in words is "three hundred thirty-two million, eight hundred seventy thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 495343 990686 1486029 1981372 2972058 3467401 3962744 5944116 6934802 7925488 10402203 11888232 13869604 15850976 20804406 23776464 27739208 41608812 47552928 55478416 83217624 110956832 166435248 332870496