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34424010 = 23251941491
BaseRepresentation
bin1000001101010…
…0010011001010
32101202220212100
42003110103022
532303032020
63225454230
7565412355
oct203242312
971686770
1034424010
11184822a5
12b641376
13719384a
14480129c
15304ea90
hex20d44ca

34424010 has 96 divisors (see below), whose sum is σ = 96707520. Its totient is φ = 8467200.

The previous prime is 34424003. The next prime is 34424011. The reversal of 34424010 is 1042443.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (34424011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69865 + ... + 70355.

It is an arithmetic number, because the mean of its divisors is an integer number (1007370).

Almost surely, 234424010 is an apocalyptic number.

34424010 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 34424010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48353760).

34424010 is an abundant number, since it is smaller than the sum of its proper divisors (62283510).

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

34424010 is a wasteful number, since it uses less digits than its factorization.

34424010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 34424010 is about 5867.1977979270. The cubic root of 34424010 is about 325.3023143613.

Adding to 34424010 its reverse (1042443), we get a palindrome (35466453).

The spelling of 34424010 in words is "thirty-four million, four hundred twenty-four thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 41 45 57 82 90 95 114 123 171 190 205 246 285 342 369 410 491 570 615 738 779 855 982 1230 1473 1558 1710 1845 2337 2455 2946 3690 3895 4419 4674 4910 7011 7365 7790 8838 9329 11685 14022 14730 18658 20131 22095 23370 27987 35055 40262 44190 46645 55974 60393 70110 83961 93290 100655 120786 139935 167922 181179 201310 279870 301965 362358 382489 419805 603930 764978 839610 905895 1147467 1811790 1912445 2294934 3442401 3824890 5737335 6884802 11474670 17212005 34424010