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34834140 = 223251173241
BaseRepresentation
bin1000010011100…
…0011011011100
32102112202110100
42010320123130
532404143030
63242341100
7602041155
oct204703334
972482410
1034834140
1118732450
12b7ba790
1372a8423
1448aa92c
1530d1360
hex21386dc

34834140 has 144 divisors (see below), whose sum is σ = 117333216. Its totient is φ = 8294400.

The previous prime is 34834127. The next prime is 34834147. The reversal of 34834140 is 4143843.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34834147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144420 + ... + 144660.

It is an arithmetic number, because the mean of its divisors is an integer number (814814).

Almost surely, 234834140 is an apocalyptic number.

34834140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34834140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58666608).

34834140 is an abundant number, since it is smaller than the sum of its proper divisors (82499076).

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

34834140 is a wasteful number, since it uses less digits than its factorization.

34834140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 34834140 is about 5902.0454081615. The cubic root of 34834140 is about 326.5891088030.

Adding to 34834140 its reverse (4143843), we get a palindrome (38977983).

The spelling of 34834140 in words is "thirty-four million, eight hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 73 90 99 110 132 146 165 180 198 219 220 241 292 330 365 396 438 482 495 657 660 723 730 803 876 964 990 1095 1205 1314 1446 1460 1606 1980 2169 2190 2409 2410 2628 2651 2892 3212 3285 3615 4015 4338 4380 4818 4820 5302 6570 7227 7230 7953 8030 8676 9636 10604 10845 12045 13140 13255 14454 14460 15906 16060 17593 21690 23859 24090 26510 28908 31812 35186 36135 39765 43380 47718 48180 52779 53020 70372 72270 79530 87965 95436 105558 119295 144540 158337 159060 175930 193523 211116 238590 263895 316674 351860 387046 477180 527790 580569 633348 774092 791685 967615 1055580 1161138 1583370 1741707 1935230 2322276 2902845 3166740 3483414 3870460 5805690 6966828 8708535 11611380 17417070 34834140