Search a number
-
+
34142623320 = 23351353412949
BaseRepresentation
bin11111110011000011…
…110001011001011000
310021010110100222020110
4133303003301121120
51024411002421240
623403534524320
72316041336601
oct376303613130
9107113328213
1034142623320
1113530691273
12674a3666a0
1332b1701bc0
14191c6c6da8
15d4c672c80
hex7f30f1658

34142623320 has 128 divisors (see below), whose sum is σ = 112388472000. Its totient is φ = 8245745664.

The previous prime is 34142623313. The next prime is 34142623369. The reversal of 34142623320 is 2332624143.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 123795 + ... + 289154.

Almost surely, 234142623320 is an apocalyptic number.

34142623320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34142623320 is an abundant number, since it is smaller than the sum of its proper divisors (78245848680).

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

34142623320 is a wasteful number, since it uses less digits than its factorization.

34142623320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413029 (or 413025 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The spelling of 34142623320 in words is "thirty-four billion, one hundred forty-two million, six hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 53 60 65 78 104 106 120 130 156 159 195 212 260 265 312 318 390 424 520 530 636 689 780 795 1060 1272 1378 1560 1590 2067 2120 2756 3180 3445 4134 5512 6360 6890 8268 10335 13780 16536 20670 27560 41340 82680 412949 825898 1238847 1651796 2064745 2477694 3303592 4129490 4955388 5368337 6194235 8258980 9910776 10736674 12388470 16105011 16517960 21473348 21886297 24776940 26841685 32210022 42946696 43772594 49553880 53683370 64420044 65658891 80525055 87545188 107366740 109431485 128840088 131317782 161050110 175090376 214733480 218862970 262635564 284521861 322100220 328294455 437725940 525271128 569043722 644200440 656588910 853565583 875451880 1138087444 1313177820 1422609305 1707131166 2276174888 2626355640 2845218610 3414262332 4267827915 5690437220 6828524664 8535655830 11380874440 17071311660 34142623320