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34282752 = 28372911
BaseRepresentation
bin1000001011000…
…1110100000000
32101111202002120
42002301310000
532234022002
63222444240
7564253500
oct202616400
971452076
1034282752
1118396159
12b593680
13714446a
1447a5a00
153022cbc
hex20b1d00

34282752 has 108 divisors (see below), whose sum is σ = 106255296. Its totient is φ = 9784320.

The previous prime is 34282751. The next prime is 34282817. The reversal of 34282752 is 25728243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34282751) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37177 + ... + 38087.

Almost surely, 234282752 is an apocalyptic number.

34282752 is a gapful number since it is divisible by the number (32) 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 34282752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53127648).

34282752 is an abundant number, since it is smaller than the sum of its proper divisors (71972544).

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

34282752 is an equidigital number, since it uses as much as digits as its factorization.

34282752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 923 counting only the distinct ones).

The product of its digits is 26880, while the sum is 33.

The square root of 34282752 is about 5855.1474789283. The cubic root of 34282752 is about 324.8567479126.

The spelling of 34282752 in words is "thirty-four million, two hundred eighty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 588 672 768 784 896 911 1176 1344 1568 1792 1822 2352 2688 2733 3136 3644 4704 5376 5466 6272 6377 7288 9408 10932 12544 12754 14576 18816 19131 21864 25508 29152 37632 38262 43728 44639 51016 58304 76524 87456 89278 102032 116608 133917 153048 174912 178556 204064 233216 267834 306096 349824 357112 408128 535668 612192 699648 714224 816256 1071336 1224384 1428448 1632512 2142672 2448768 2856896 4285344 4897536 5713792 8570688 11427584 17141376 34282752