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34389516 = 22371133623
BaseRepresentation
bin1000001100101…
…1111000001100
32101201011112210
42003023320030
532300431031
63225030420
7565206660
oct203137014
971634483
1034389516
1118459397
12b625410
137180c35
1447d28a0
153044746
hex20cbe0c

34389516 has 48 divisors (see below), whose sum is σ = 92542464. Its totient is φ = 9735936.

The previous prime is 34389503. The next prime is 34389517. The reversal of 34389516 is 61598343.

It is not an unprimeable number, because it can be changed into a prime (34389517) 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 15 ways as a sum of consecutive naturals, for example, 7681 + ... + 11303.

It is an arithmetic number, because the mean of its divisors is an integer number (1927968).

Almost surely, 234389516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34389516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46271232).

34389516 is an abundant number, since it is smaller than the sum of its proper divisors (58152948).

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

34389516 is a wasteful number, since it uses less digits than its factorization.

34389516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3750 (or 3748 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 34389516 is about 5864.2574977571. The cubic root of 34389516 is about 325.1936234791.

The spelling of 34389516 in words is "thirty-four million, three hundred eighty-nine thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 113 226 339 452 678 791 1356 1582 2373 3164 3623 4746 7246 9492 10869 14492 21738 25361 43476 50722 76083 101444 152166 304332 409399 818798 1228197 1637596 2456394 2865793 4912788 5731586 8597379 11463172 17194758 34389516