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34254432 = 2532831433
BaseRepresentation
bin1000001010101…
…0111001100000
32101110022020200
42002222321200
532232120212
63222105200
7564105102
oct202527140
971408220
1034254432
1118376953
12b57b200
1371345c4
144799572
1530196dc
hex20aae60

34254432 has 72 divisors (see below), whose sum is σ = 98653464. Its totient is φ = 11272704.

The previous prime is 34254427. The next prime is 34254443. The reversal of 34254432 is 23445243.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×342544322 = 2346732223285248, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 34254396 and 34254405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23188 + ... + 24620.

It is an arithmetic number, because the mean of its divisors is an integer number (1370187).

Almost surely, 234254432 is an apocalyptic number.

34254432 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 34254432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49326732).

34254432 is an abundant number, since it is smaller than the sum of its proper divisors (64399032).

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

34254432 is a wasteful number, since it uses less digits than its factorization.

34254432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532 (or 1521 counting only the distinct ones).

The product of its digits is 11520, while the sum is 27.

The square root of 34254432 is about 5852.7285944250. The cubic root of 34254432 is about 324.7672716503.

Adding to 34254432 its reverse (23445243), we get a palindrome (57699675).

The spelling of 34254432 in words is "thirty-four million, two hundred fifty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 83 96 144 166 249 288 332 498 664 747 996 1328 1433 1494 1992 2656 2866 2988 3984 4299 5732 5976 7968 8598 11464 11952 12897 17196 22928 23904 25794 34392 45856 51588 68784 103176 118939 137568 206352 237878 356817 412704 475756 713634 951512 1070451 1427268 1903024 2140902 2854536 3806048 4281804 5709072 8563608 11418144 17127216 34254432