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34427856 = 24317311361
BaseRepresentation
bin1000001101010…
…1001111010000
32101210010010210
42003111033100
532303142411
63225524120
7565426521
oct203251720
971703123
1034427856
1118485181
12b643640
137195518
144802848
153050ca6
hex20d53d0

34427856 has 80 divisors (see below), whose sum is σ = 97279488. Its totient is φ = 10444800.

The previous prime is 34427831. The next prime is 34427863. The reversal of 34427856 is 65872443.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 24616 + ... + 25976.

Almost surely, 234427856 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 34427856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48639744).

34427856 is an abundant number, since it is smaller than the sum of its proper divisors (62851632).

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

34427856 is a wasteful number, since it uses less digits than its factorization.

34427856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1414 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The square root of 34427856 is about 5867.5255431911. The cubic root of 34427856 is about 325.3144286396.

The spelling of 34427856 in words is "thirty-four million, four hundred twenty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 34 48 51 62 68 93 102 124 136 186 204 248 272 372 408 496 527 744 816 1054 1361 1488 1581 2108 2722 3162 4083 4216 5444 6324 8166 8432 10888 12648 16332 21776 23137 25296 32664 42191 46274 65328 69411 84382 92548 126573 138822 168764 185096 253146 277644 337528 370192 506292 555288 675056 717247 1012584 1110576 1434494 2025168 2151741 2868988 4303482 5737976 8606964 11475952 17213928 34427856