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34420144 = 2411223773
BaseRepresentation
bin1000001101001…
…1010110110000
32101202201120011
42003103112300
532302421034
63225424304
7565365163
oct203232660
971681504
1034420144
111847a400
12b63b094
137191b65
1447ddada
15304d864
hex20d35b0

34420144 has 60 divisors (see below), whose sum is σ = 76588848. Its totient is φ = 14945920.

The previous prime is 34420109. The next prime is 34420151. The reversal of 34420144 is 44102443.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 44142 + ... + 44914.

Almost surely, 234420144 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 34420144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38294424).

34420144 is an abundant number, since it is smaller than the sum of its proper divisors (42168704).

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

34420144 is a wasteful number, since it uses less digits than its factorization.

34420144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 34420144 is about 5866.8683298673. The cubic root of 34420144 is about 325.2901361769.

Adding to 34420144 its reverse (44102443), we get a palindrome (78522587).

The spelling of 34420144 in words is "thirty-four million, four hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 121 176 184 242 253 368 484 506 773 968 1012 1546 1936 2024 2783 3092 4048 5566 6184 8503 11132 12368 17006 17779 22264 34012 35558 44528 68024 71116 93533 136048 142232 187066 195569 284464 374132 391138 748264 782276 1496528 1564552 2151259 3129104 4302518 8605036 17210072 34420144