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34741140 = 22357181457
BaseRepresentation
bin1000010010000…
…1101110010100
32102101000212220
42010201232110
532343204030
63240342340
7601203060
oct204415624
972330786
1034741140
1118679595
12b7749b0
137274cb5
144884aa0
1530b3a10
hex2121b94

34741140 has 96 divisors (see below), whose sum is σ = 112030464. Its totient is φ = 7879680.

The previous prime is 34741127. The next prime is 34741151. The reversal of 34741140 is 4114743.

It is a self number, because there is not a number n which added to its sum of digits gives 34741140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75792 + ... + 76248.

It is an arithmetic number, because the mean of its divisors is an integer number (1166984).

Almost surely, 234741140 is an apocalyptic number.

34741140 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 34741140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56015232).

34741140 is an abundant number, since it is smaller than the sum of its proper divisors (77289324).

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

34741140 is a wasteful number, since it uses less digits than its factorization.

34741140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 34741140 is about 5894.1615179769. The cubic root of 34741140 is about 326.2982078174.

Adding to 34741140 its reverse (4114743), we get a palindrome (38855883).

The spelling of 34741140 in words is "thirty-four million, seven hundred forty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 181 210 362 420 457 543 724 905 914 1086 1267 1371 1810 1828 2172 2285 2534 2715 2742 3199 3620 3801 4570 5068 5430 5484 6335 6398 6855 7602 9140 9597 10860 12670 12796 13710 15204 15995 19005 19194 25340 27420 31990 38010 38388 47985 63980 76020 82717 95970 165434 191940 248151 330868 413585 496302 579019 827170 992604 1158038 1240755 1654340 1737057 2316076 2481510 2895095 3474114 4963020 5790190 6948228 8685285 11580380 17370570 34741140