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34326390 = 2357223733
BaseRepresentation
bin1000001011110…
…0011101110110
32101120221221210
42002330131312
532241421030
63223422250
7564524640
oct202743566
971527853
1034326390
1118415a1a
12b5b4986
13715b297
1447b7890
153030bb0
hex20bc776

34326390 has 64 divisors (see below), whose sum is σ = 94703616. Its totient is φ = 7800192.

The previous prime is 34326379. The next prime is 34326431. The reversal of 34326390 is 9362343.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46464 + ... + 47196.

It is an arithmetic number, because the mean of its divisors is an integer number (1479744).

Almost surely, 234326390 is an apocalyptic number.

34326390 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 34326390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47351808).

34326390 is an abundant number, since it is smaller than the sum of its proper divisors (60377226).

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

34326390 is a wasteful number, since it uses less digits than its factorization.

34326390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973.

The product of its (nonzero) digits is 11664, while the sum is 30.

The square root of 34326390 is about 5858.8727584750. The cubic root of 34326390 is about 324.9945245626.

It can be divided in two parts, 34326 and 390, that added together give a triangular number (34716 = T263).

The spelling of 34326390 in words is "thirty-four million, three hundred twenty-six thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 223 446 669 733 1115 1338 1466 1561 2199 2230 3122 3345 3665 4398 4683 5131 6690 7330 7805 9366 10262 10995 15393 15610 21990 23415 25655 30786 46830 51310 76965 153930 163459 326918 490377 817295 980754 1144213 1634590 2288426 2451885 3432639 4903770 5721065 6865278 11442130 17163195 34326390