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34253910 = 23251073557
BaseRepresentation
bin1000001010101…
…0110001010110
32101110021112100
42002222301112
532232111120
63222102530
7564103425
oct202526126
971407470
1034253910
1118376519
12b57aa46
1371342b2
1447992bc
153019490
hex20aac56

34253910 has 48 divisors (see below), whose sum is σ = 89917776. Its totient is φ = 9046464.

The previous prime is 34253881. The next prime is 34253911. The reversal of 34253910 is 1935243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34253911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7852 + ... + 11408.

It is an arithmetic number, because the mean of its divisors is an integer number (1873287).

Almost surely, 234253910 is an apocalyptic number.

34253910 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34253910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44958888).

34253910 is an abundant number, since it is smaller than the sum of its proper divisors (55663866).

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

34253910 is a wasteful number, since it uses less digits than its factorization.

34253910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3677 (or 3674 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 34253910 is about 5852.6839996706. The cubic root of 34253910 is about 324.7656219428.

The spelling of 34253910 in words is "thirty-four million, two hundred fifty-three thousand, nine hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 107 214 321 535 642 963 1070 1605 1926 3210 3557 4815 7114 9630 10671 17785 21342 32013 35570 53355 64026 106710 160065 320130 380599 761198 1141797 1902995 2283594 3425391 3805990 5708985 6850782 11417970 17126955 34253910