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34423792 = 2413359461
BaseRepresentation
bin1000001101010…
…0001111110000
32101202220120021
42003110033300
532303030132
63225453224
7565411624
oct203241760
971686507
1034423792
1118482117
12b641214
137193710
144801184
15304e997
hex20d43f0

34423792 has 40 divisors (see below), whose sum is σ = 72182880. Its totient is φ = 15809280.

The previous prime is 34423789. The next prime is 34423799. The reversal of 34423792 is 29732443.

It is a happy number.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34423799) 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 7 ways as a sum of consecutive naturals, for example, 74442 + ... + 74902.

It is an arithmetic number, because the mean of its divisors is an integer number (1804572).

Almost surely, 234423792 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 34423792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36091440).

34423792 is an abundant number, since it is smaller than the sum of its proper divisors (37759088).

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

34423792 is a wasteful number, since it uses less digits than its factorization.

34423792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 835 counting only the distinct ones).

The product of its digits is 36288, while the sum is 34.

The square root of 34423792 is about 5867.1792200341. The cubic root of 34423792 is about 325.3016276695.

The spelling of 34423792 in words is "thirty-four million, four hundred twenty-three thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 359 461 718 922 1436 1844 2872 3688 4667 5744 5993 7376 9334 11986 18668 23972 37336 47944 74672 95888 165499 330998 661996 1323992 2151487 2647984 4302974 8605948 17211896 34423792