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332328048 = 243131513527
BaseRepresentation
bin10011110011101…
…110110001110000
3212011100000101020
4103303232301300
51140033444143
652550535440
711143512303
oct2363566160
9764300336
10332328048
11160654a88
1293367580
1353b09620
14321cab3a
151e297883
hex13ceec70

332328048 has 80 divisors (see below), whose sum is σ = 930940416. Its totient is φ = 101548800.

The previous prime is 332328013. The next prime is 332328071. The reversal of 332328048 is 840823233.

It is a super-2 number, since 2×3323280482 = 220883862974980608, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92461 + ... + 95987.

Almost surely, 2332328048 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 332328048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465470208).

332328048 is an abundant number, since it is smaller than the sum of its proper divisors (598612368).

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

332328048 is a wasteful number, since it uses less digits than its factorization.

332328048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3702 (or 3696 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 332328048 is about 18229.8669221692. The cubic root of 332328048 is about 692.6635465445.

The spelling of 332328048 in words is "three hundred thirty-two million, three hundred twenty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 151 156 208 302 312 453 604 624 906 1208 1812 1963 2416 3527 3624 3926 5889 7054 7248 7852 10581 11778 14108 15704 21162 23556 28216 31408 42324 45851 47112 56432 84648 91702 94224 137553 169296 183404 275106 366808 532577 550212 733616 1065154 1100424 1597731 2130308 2200848 3195462 4260616 6390924 6923501 8521232 12781848 13847002 20770503 25563696 27694004 41541006 55388008 83082012 110776016 166164024 332328048