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34253472 = 25311163199
BaseRepresentation
bin1000001010101…
…0101010100000
32101110020221010
42002222222200
532232102342
63222100520
7564102231
oct202525240
971406833
1034253472
1118376160
12b57a740
137134036
144799088
15301929c
hex20aaaa0

34253472 has 96 divisors (see below), whose sum is σ = 99187200. Its totient is φ = 10264320.

The previous prime is 34253449. The next prime is 34253473. The reversal of 34253472 is 27435243.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (34253473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172029 + ... + 172227.

It is an arithmetic number, because the mean of its divisors is an integer number (1033200).

Almost surely, 234253472 is an apocalyptic number.

34253472 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 34253472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49593600).

34253472 is an abundant number, since it is smaller than the sum of its proper divisors (64933728).

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

34253472 is a wasteful number, since it uses less digits than its factorization.

34253472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 378 counting only the distinct ones).

The product of its digits is 20160, while the sum is 30.

The square root of 34253472 is about 5852.6465808214. The cubic root of 34253472 is about 324.7642376926.

The spelling of 34253472 in words is "thirty-four million, two hundred fifty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 163 176 199 264 326 352 398 489 528 597 652 796 978 1056 1194 1304 1592 1793 1956 2189 2388 2608 3184 3586 3912 4378 4776 5216 5379 6368 6567 7172 7824 8756 9552 10758 13134 14344 15648 17512 19104 21516 26268 28688 32437 35024 43032 52536 57376 64874 70048 86064 97311 105072 129748 172128 194622 210144 259496 356807 389244 518992 713614 778488 1037984 1070421 1427228 1556976 2140842 2854456 3113952 4281684 5708912 8563368 11417824 17126736 34253472