Search a number
-
+
34263434340 = 22325190352413
BaseRepresentation
bin11111111010010000…
…101000010001100100
310021102212200210210200
4133322100220101210
51030132414344330
623423532150500
72322036246402
oct377220502144
9107385623720
1034263434340
11135928a7393
126782908430
133300751005
141930774472
15d58088a60
hex7fa428464

34263434340 has 36 divisors (see below), whose sum is σ = 103932418044. Its totient is φ = 9136915776.

The previous prime is 34263434333. The next prime is 34263434347. The reversal of 34263434340 is 4343436243.

It is an interprime number because it is at equal distance from previous prime (34263434333) and next prime (34263434347).

It can be written as a sum of positive squares in 2 ways, for example, as 24246226944 + 10017207396 = 155712^2 + 100086^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34263434295 and 34263434304.

It is not an unprimeable number, because it can be changed into a prime (34263434347) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95176027 + ... + 95176386.

Almost surely, 234263434340 is an apocalyptic number.

34263434340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34263434340 is an abundant number, since it is smaller than the sum of its proper divisors (69668983704).

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

34263434340 is a wasteful number, since it uses less digits than its factorization.

34263434340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190352428 (or 190352423 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

The spelling of 34263434340 in words is "thirty-four billion, two hundred sixty-three million, four hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 190352413 380704826 571057239 761409652 951762065 1142114478 1713171717 1903524130 2284228956 2855286195 3426343434 3807048260 5710572390 6852686868 8565858585 11421144780 17131717170 34263434340