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34426740 = 22353183223
BaseRepresentation
bin1000001101010…
…0111101110100
32101210001121110
42003110331310
532303123430
63225515020
7565423335
oct203247564
971701543
1034426740
1118484357
12b642a70
137194b6a
14480228c
1530507b0
hex20d4f74

34426740 has 96 divisors (see below), whose sum is σ = 101154816. Its totient is φ = 8737920.

The previous prime is 34426697. The next prime is 34426747. The reversal of 34426740 is 4762443.

34426740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 34426698 and 34426707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34426747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154269 + ... + 154491.

It is an arithmetic number, because the mean of its divisors is an integer number (1053696).

Almost surely, 234426740 is an apocalyptic number.

34426740 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34426740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50577408).

34426740 is an abundant number, since it is smaller than the sum of its proper divisors (66728076).

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

34426740 is a wasteful number, since it uses less digits than its factorization.

34426740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 34426740 is about 5867.4304427066. The cubic root of 34426740 is about 325.3109135129.

The spelling of 34426740 in words is "thirty-four million, four hundred twenty-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 83 93 124 155 166 186 223 249 310 332 372 415 446 465 498 620 669 830 892 930 996 1115 1245 1338 1660 1860 2230 2490 2573 2676 3345 4460 4980 5146 6690 6913 7719 10292 12865 13380 13826 15438 18509 20739 25730 27652 30876 34565 37018 38595 41478 51460 55527 69130 74036 77190 82956 92545 103695 111054 138260 154380 185090 207390 222108 277635 370180 414780 555270 573779 1110540 1147558 1721337 2295116 2868895 3442674 5737790 6885348 8606685 11475580 17213370 34426740