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34283472 = 243799041
BaseRepresentation
bin1000001011000…
…1111111010000
32101111210002020
42002301333100
532234032342
63222451440
7564255546
oct202617720
971453066
1034283472
1118396753
12b593b80
1371448a2
1447a5d96
1530230ec
hex20b1fd0

34283472 has 40 divisors (see below), whose sum is σ = 89696640. Its totient is φ = 11281920.

The previous prime is 34283449. The next prime is 34283477. The reversal of 34283472 is 27438243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34283477) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 729 + ... + 8312.

It is an arithmetic number, because the mean of its divisors is an integer number (2242416).

Almost surely, 234283472 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 34283472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44848320).

34283472 is an abundant number, since it is smaller than the sum of its proper divisors (55413168).

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

34283472 is a wasteful number, since it uses less digits than its factorization.

34283472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9131 (or 9125 counting only the distinct ones).

The product of its digits is 32256, while the sum is 33.

The square root of 34283472 is about 5855.2089629662. The cubic root of 34283472 is about 324.8590220904.

The spelling of 34283472 in words is "thirty-four million, two hundred eighty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 158 237 316 474 632 948 1264 1896 3792 9041 18082 27123 36164 54246 72328 108492 144656 216984 433968 714239 1428478 2142717 2856956 4285434 5713912 8570868 11427824 17141736 34283472