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332293728 = 25313266261
BaseRepresentation
bin10011110011100…
…110011001100000
3212011021021022010
4103303212121200
51140031344403
652550112520
711143310244
oct2363463140
9764237263
10332293728
11160631218
129334b740
1353ac6b10
14321bc424
151e28c603
hex13ce6660

332293728 has 48 divisors (see below), whose sum is σ = 939372336. Its totient is φ = 102243840.

The previous prime is 332293727. The next prime is 332293733. The reversal of 332293728 is 827392233.

332293728 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 2×3322937282 = 220838243336275968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332293727) 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, 131883 + ... + 134378.

It is an arithmetic number, because the mean of its divisors is an integer number (19570257).

Almost surely, 2332293728 is an apocalyptic number.

It is an amenable number.

332293728 is an abundant number, since it is smaller than the sum of its proper divisors (607078608).

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

332293728 is a wasteful number, since it uses less digits than its factorization.

332293728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266287 (or 266279 counting only the distinct ones).

The product of its digits is 108864, while the sum is 39.

The square root of 332293728 is about 18228.9255854535. The cubic root of 332293728 is about 692.6397016003.

The spelling of 332293728 in words is "three hundred thirty-two million, two hundred ninety-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 266261 532522 798783 1065044 1597566 2130088 3195132 3461393 4260176 6390264 6922786 8520352 10384179 12780528 13845572 20768358 25561056 27691144 41536716 55382288 83073432 110764576 166146864 332293728