Search a number
-
+
34347740 = 22572310667
BaseRepresentation
bin1000001100000…
…1101011011100
32101122001020112
42003001223130
532243111430
63224105152
7564644120
oct203015334
971561215
1034347740
111842aa69
12b6051b8
137167c0b
1447c1580
153037195
hex20c1adc

34347740 has 48 divisors (see below), whose sum is σ = 86026752. Its totient is φ = 11263296.

The previous prime is 34347737. The next prime is 34347743. The reversal of 34347740 is 4774343.

It is an interprime number because it is at equal distance from previous prime (34347737) and next prime (34347743).

It is a junction number, because it is equal to n+sod(n) for n = 34347697 and 34347706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34347743) 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 15 ways as a sum of consecutive naturals, for example, 2114 + ... + 8553.

It is an arithmetic number, because the mean of its divisors is an integer number (1792224).

Almost surely, 234347740 is an apocalyptic number.

It is an amenable number.

34347740 is an abundant number, since it is smaller than the sum of its proper divisors (51679012).

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

34347740 is a wasteful number, since it uses less digits than its factorization.

34347740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10706 (or 10704 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 32.

The square root of 34347740 is about 5860.6944980949. The cubic root of 34347740 is about 325.0618895943.

The spelling of 34347740 in words is "thirty-four million, three hundred forty-seven thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 1610 3220 10667 21334 42668 53335 74669 106670 149338 213340 245341 298676 373345 490682 746690 981364 1226705 1493380 1717387 2453410 3434774 4906820 6869548 8586935 17173870 34347740