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34241244240 = 2435729702817
BaseRepresentation
bin11111111000111011…
…111110110001010000
310021101022221102201010
4133320323332301100
51030111224303430
623421420410520
72321346526260
oct377073766120
9107338842633
1034241244240
1113581320665
1267773a6a40
1332c8c81a88
14192b8397a0
15d56153cb0
hex7f8efec50

34241244240 has 160 divisors (see below), whose sum is σ = 125495182080. Its totient is φ = 7556677632.

The previous prime is 34241244239. The next prime is 34241244241. The reversal of 34241244240 is 4244214243.

It is an interprime number because it is at equal distance from previous prime (34241244239) and next prime (34241244241).

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 = 34241244198 and 34241244207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34241244241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302689 + ... + 400128.

It is an arithmetic number, because the mean of its divisors is an integer number (784344888).

Almost surely, 234241244240 is an apocalyptic number.

34241244240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34241244240 is an abundant number, since it is smaller than the sum of its proper divisors (91253937840).

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

34241244240 is a wasteful number, since it uses less digits than its factorization.

34241244240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702869 (or 702863 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 34241244240 its reverse (4244214243), we get a palindrome (38485458483).

The spelling of 34241244240 in words is "thirty-four billion, two hundred forty-one million, two hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 29 30 35 40 42 48 56 58 60 70 80 84 87 105 112 116 120 140 145 168 174 203 210 232 240 280 290 336 348 406 420 435 464 560 580 609 696 812 840 870 1015 1160 1218 1392 1624 1680 1740 2030 2320 2436 3045 3248 3480 4060 4872 6090 6960 8120 9744 12180 16240 24360 48720 702817 1405634 2108451 2811268 3514085 4216902 4919719 5622536 7028170 8433804 9839438 10542255 11245072 14056340 14759157 16867608 19678876 20381693 21084510 24598595 28112680 29518314 33735216 39357752 40763386 42169020 49197190 56225360 59036628 61145079 73795785 78715504 81526772 84338040 98394380 101908465 118073256 122290158 142671851 147591570 163053544 168676080 196788760 203816930 236146512 244580316 285343702 295183140 305725395 326107088 393577520 407633860 428015553 489160632 570687404 590366280 611450790 713359255 815267720 856031106 978321264 1141374808 1180732560 1222901580 1426718510 1630535440 1712062212 2140077765 2282749616 2445803160 2853437020 3424124424 4280155530 4891606320 5706874040 6848248848 8560311060 11413748080 17120622120 34241244240