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34741420 = 22572943199
BaseRepresentation
bin1000010010000…
…1110010101100
32102101001021021
42010201302230
532343211140
63240343524
7601203640
oct204416254
972331237
1034741420
111867981a
12b774ba4
13727516c
144884c20
1530b3b4a
hex2121cac

34741420 has 96 divisors (see below), whose sum is σ = 88704000. Its totient is φ = 11176704.

The previous prime is 34741411. The next prime is 34741439. The reversal of 34741420 is 2414743.

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, 174481 + ... + 174679.

It is an arithmetic number, because the mean of its divisors is an integer number (924000).

Almost surely, 234741420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34741420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44352000).

34741420 is an abundant number, since it is smaller than the sum of its proper divisors (53962580).

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

34741420 is a wasteful number, since it uses less digits than its factorization.

34741420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 34741420 is about 5894.1852702473. The cubic root of 34741420 is about 326.2990844270.

The spelling of 34741420 in words is "thirty-four million, seven hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 43 58 70 86 116 140 145 172 199 203 215 290 301 398 406 430 580 602 796 812 860 995 1015 1204 1247 1393 1505 1990 2030 2494 2786 3010 3980 4060 4988 5572 5771 6020 6235 6965 8557 8729 11542 12470 13930 17114 17458 23084 24940 27860 28855 34228 34916 40397 42785 43645 57710 59899 80794 85570 87290 115420 119798 161588 171140 174580 201985 239596 248153 299495 403970 496306 598990 807940 992612 1197980 1240765 1737071 2481530 3474142 4963060 6948284 8685355 17370710 34741420