Search a number
-
+
34244012340 = 22325434424291
BaseRepresentation
bin11111111001000110…
…100010100100110100
310021101112011001211100
4133321012202210310
51030112431343330
623422000010100
72321412205446
oct377106424464
9107345131740
1034244012340
111358294134a
126778300930
1332c97109c5
14192bd5a496
15d564ee060
hex7f91a2934

34244012340 has 72 divisors (see below), whose sum is σ = 106289191008. Its totient is φ = 8919368640.

The previous prime is 34244012321. The next prime is 34244012357. The reversal of 34244012340 is 4321044243.

It is a happy number.

34244012340 is a `hidden beast` number, since 3 + 4 + 24 + 401 + 234 + 0 = 666.

It is a super-2 number, since 2×342440123402 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2204406 + ... + 2219885.

It is an arithmetic number, because the mean of its divisors is an integer number (1476238764).

Almost surely, 234244012340 is an apocalyptic number.

34244012340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34244012340 is an abundant number, since it is smaller than the sum of its proper divisors (72045178668).

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

34244012340 is a wasteful number, since it uses less digits than its factorization.

34244012340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4424349 (or 4424344 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 34244012340 its reverse (4321044243), we get a palindrome (38565056583).

The spelling of 34244012340 in words is "thirty-four billion, two hundred forty-four million, twelve thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1548 1935 2580 3870 7740 4424291 8848582 13272873 17697164 22121455 26545746 39818619 44242910 53091492 66364365 79637238 88485820 132728730 159274476 190244513 199093095 265457460 380489026 398186190 570733539 760978052 796372380 951222565 1141467078 1712200617 1902445130 2282934156 2853667695 3424401234 3804890260 5707335390 6848802468 8561003085 11414670780 17122006170 34244012340