Search a number
-
+
34254720 = 2732519313
BaseRepresentation
bin1000001010101…
…0111110000000
32101110022122100
42002222332000
532232122340
63222110400
7564105663
oct202527600
971408570
1034254720
1118377095
12b57b400
137134786
1447996da
153019830
hex20aaf80

34254720 has 192 divisors, whose sum is σ = 124909200. Its totient is φ = 8626176.

The previous prime is 34254719. The next prime is 34254749. The reversal of 34254720 is 2745243.

It is a tau number, because it is divible by the number of its divisors (192).

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109284 + ... + 109596.

Almost surely, 234254720 is an apocalyptic number.

34254720 is a gapful number since it is divisible by the number (30) 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 34254720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62454600).

34254720 is an abundant number, since it is smaller than the sum of its proper divisors (90654480).

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

34254720 is a wasteful number, since it uses less digits than its factorization.

34254720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 34254720 is about 5852.7531982820. The cubic root of 34254720 is about 324.7681818265.

Adding to 34254720 its reverse (2745243), we get a palindrome (36999963).

The spelling of 34254720 in words is "thirty-four million, two hundred fifty-four thousand, seven hundred twenty".