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34283136 = 273731223
BaseRepresentation
bin1000001011000…
…1111010000000
32101111202121210
42002301322000
532234030021
63222450120
7564254556
oct202617200
971452553
1034283136
1118396478
12b593940
1371446a4
1447a5bd6
153022e76
hex20b1e80

34283136 has 64 divisors (see below), whose sum is σ = 92387520. Its totient is φ = 11261952.

The previous prime is 34283111. The next prime is 34283141. The reversal of 34283136 is 63138243.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27421 + ... + 28643.

It is an arithmetic number, because the mean of its divisors is an integer number (1443555).

Almost surely, 234283136 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 34283136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46193760).

34283136 is an abundant number, since it is smaller than the sum of its proper divisors (58104384).

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

34283136 is a wasteful number, since it uses less digits than its factorization.

34283136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313 (or 1301 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 34283136 is about 5855.1802704955. The cubic root of 34283136 is about 324.8579608114.

The spelling of 34283136 in words is "thirty-four million, two hundred eighty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 128 146 192 219 292 384 438 584 876 1168 1223 1752 2336 2446 3504 3669 4672 4892 7008 7338 9344 9784 14016 14676 19568 28032 29352 39136 58704 78272 89279 117408 156544 178558 234816 267837 357116 469632 535674 714232 1071348 1428464 2142696 2856928 4285392 5713856 8570784 11427712 17141568 34283136