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34425040 = 2451379419
BaseRepresentation
bin1000001101010…
…0100011010000
32101202222021111
42003110203100
532303100130
63225503104
7565415356
oct203244320
971688244
1034425040
1118483051
12b641a94
137194160
1448017d6
15305002a
hex20d48d0

34425040 has 80 divisors (see below), whose sum is σ = 87494400. Its totient is φ = 12519936.

The previous prime is 34425031. The next prime is 34425047. The reversal of 34425040 is 4052443.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34425047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81951 + ... + 82369.

It is an arithmetic number, because the mean of its divisors is an integer number (1093680).

Almost surely, 234425040 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 34425040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43747200).

34425040 is an abundant number, since it is smaller than the sum of its proper divisors (53069360).

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

34425040 is a wasteful number, since it uses less digits than its factorization.

34425040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 34425040 is about 5867.2855734147. The cubic root of 34425040 is about 325.3055587833.

Adding to 34425040 its reverse (4052443), we get a palindrome (38477483).

The spelling of 34425040 in words is "thirty-four million, four hundred twenty-five thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 79 80 104 130 158 208 260 316 395 419 520 632 790 838 1027 1040 1264 1580 1676 2054 2095 3160 3352 4108 4190 5135 5447 6320 6704 8216 8380 10270 10894 16432 16760 20540 21788 27235 33101 33520 41080 43576 54470 66202 82160 87152 108940 132404 165505 217880 264808 331010 430313 435760 529616 662020 860626 1324040 1721252 2151565 2648080 3442504 4303130 6885008 8606260 17212520 34425040