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342528912 = 2435118009
BaseRepresentation
bin10100011010101…
…001001110010000
3212212112021100000
4110122221032100
51200141411122
653553330000
711326306365
oct2432511620
9785467300
10342528912
11166392050
1296866900
1355c6b73b
14336c446c
15201100ac
hex146a9390

342528912 has 120 divisors (see below), whose sum is σ = 1084618080. Its totient is φ = 103783680.

The previous prime is 342528887. The next prime is 342528931. The reversal of 342528912 is 219825243.

It is a happy number.

342528912 is a `hidden beast` number, since 3 + 42 + 528 + 91 + 2 = 666.

342528912 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38764 + ... + 46772.

It is an arithmetic number, because the mean of its divisors is an integer number (9038484).

Almost surely, 2342528912 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 342528912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542309040).

342528912 is an abundant number, since it is smaller than the sum of its proper divisors (742089168).

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

342528912 is a wasteful number, since it uses less digits than its factorization.

342528912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8043 (or 8025 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 342528912 is about 18507.5366270068. The cubic root of 342528912 is about 699.6793851468.

The spelling of 342528912 in words is "three hundred forty-two million, five hundred twenty-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 243 264 297 324 396 432 486 528 594 648 792 891 972 1188 1296 1584 1782 1944 2376 2673 3564 3888 4752 5346 7128 8009 10692 14256 16018 21384 24027 32036 42768 48054 64072 72081 88099 96108 128144 144162 176198 192216 216243 264297 288324 352396 384432 432486 528594 576648 648729 704792 792891 864972 1057188 1153296 1297458 1409584 1585782 1729944 1946187 2114376 2378673 2594916 3171564 3459888 3892374 4228752 4757346 5189832 6343128 7136019 7784748 9514692 10379664 12686256 14272038 15569496 19029384 21408057 28544076 31138992 38058768 42816114 57088152 85632228 114176304 171264456 342528912