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5354328 = 2337229157
BaseRepresentation
bin10100011011001101011000
3101002000202110
4110123031120
52332314303
6310432320
763340200
oct24331530
911060673
105354328
113027871
1219626a0
131156155
149d5400
1570b703
hex51b358

5354328 has 96 divisors (see below), whose sum is σ = 16210800. Its totient is φ = 1467648.

The previous prime is 5354311. The next prime is 5354341. The reversal of 5354328 is 8234535.

It is a junction number, because it is equal to n+sod(n) for n = 5354295 and 5354304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34026 + ... + 34182.

Almost surely, 25354328 is an apocalyptic number.

5354328 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5354328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8105400).

5354328 is an abundant number, since it is smaller than the sum of its proper divisors (10856472).

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

5354328 is a wasteful number, since it uses less digits than its factorization.

5354328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 198 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 5354328 is about 2313.9420908916. The cubic root of 5354328 is about 174.9450494138.

The spelling of 5354328 in words is "five million, three hundred fifty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 49 56 58 84 87 98 116 147 157 168 174 196 203 232 294 314 348 392 406 471 588 609 628 696 812 942 1099 1176 1218 1256 1421 1624 1884 2198 2436 2842 3297 3768 4263 4396 4553 4872 5684 6594 7693 8526 8792 9106 11368 13188 13659 15386 17052 18212 23079 26376 27318 30772 31871 34104 36424 46158 54636 61544 63742 92316 95613 109272 127484 184632 191226 223097 254968 382452 446194 669291 764904 892388 1338582 1784776 2677164 5354328