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34124042340 = 22335431469597
BaseRepresentation
bin11111110001111100…
…111001000001100100
310021002011101221221000
4133301330321001210
51024341223323330
623402032353300
72315424400623
oct376174710144
9107064357830
1034124042340
1113521150093
1267440a5830
1332aa8c763b
14191a04b6ba
15d4ac02560
hex7f1f39064

34124042340 has 96 divisors (see below), whose sum is σ = 108632684160. Its totient is φ = 8888116608.

The previous prime is 34124042287. The next prime is 34124042371. The reversal of 34124042340 is 4324042143.

It is a happy number.

34124042340 is a `hidden beast` number, since 3 + 41 + 240 + 42 + 340 = 666.

It is a super-2 number, since 2×341240423402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 711579 + ... + 758018.

It is an arithmetic number, because the mean of its divisors is an integer number (1131590460).

Almost surely, 234124042340 is an apocalyptic number.

34124042340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34124042340 is an abundant number, since it is smaller than the sum of its proper divisors (74508641820).

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

34124042340 is a wasteful number, since it uses less digits than its factorization.

34124042340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469658 (or 1469650 counting only the distinct ones).

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

Adding to 34124042340 its reverse (4324042143), we get a palindrome (38448084483).

The spelling of 34124042340 in words is "thirty-four billion, one hundred twenty-four million, forty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 43 45 54 60 86 90 108 129 135 172 180 215 258 270 387 430 516 540 645 774 860 1161 1290 1548 1935 2322 2580 3870 4644 5805 7740 11610 23220 1469597 2939194 4408791 5878388 7347985 8817582 13226373 14695970 17635164 22043955 26452746 29391940 39679119 44087910 52905492 63192671 66131865 79358238 88175820 126385342 132263730 158716476 189578013 198395595 252770684 264527460 315963355 379156026 396791190 568734039 631926710 758312052 793582380 947890065 1137468078 1263853420 1706202117 1895780130 2274936156 2843670195 3412404234 3791560260 5687340390 6824808468 8531010585 11374680780 17062021170 34124042340