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34860420 = 22325773379
BaseRepresentation
bin1000010011111…
…0110110000100
32102121002111200
42010332312010
532411013140
63243102500
7602210610
oct204766604
972532450
1034860420
1118750171
12b811a30
1372b738a
1448b6340
1530d9030
hex213ed84

34860420 has 144 divisors (see below), whose sum is σ = 122828160. Its totient is φ = 7838208.

The previous prime is 34860389. The next prime is 34860431. The reversal of 34860420 is 2406843.

34860420 is a `hidden beast` number, since 34 + 8 + 604 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91791 + ... + 92169.

Almost surely, 234860420 is an apocalyptic number.

34860420 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 34860420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61414080).

34860420 is an abundant number, since it is smaller than the sum of its proper divisors (87967740).

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

34860420 is a wasteful number, since it uses less digits than its factorization.

34860420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 469 counting only the distinct ones).

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

The square root of 34860420 is about 5904.2713352284. The cubic root of 34860420 is about 326.6712179476.

The spelling of 34860420 in words is "thirty-four million, eight hundred sixty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 73 84 90 105 126 140 146 180 210 219 252 292 315 365 379 420 438 511 630 657 730 758 876 1022 1095 1137 1260 1314 1460 1516 1533 1895 2044 2190 2274 2555 2628 2653 3066 3285 3411 3790 4380 4548 4599 5110 5306 5685 6132 6570 6822 7580 7665 7959 9198 10220 10612 11370 13140 13265 13644 15330 15918 17055 18396 22740 22995 23877 26530 27667 30660 31836 34110 39795 45990 47754 53060 55334 68220 79590 83001 91980 95508 110668 119385 138335 159180 166002 193669 238770 249003 276670 332004 387338 415005 477540 498006 553340 581007 774676 830010 968345 996012 1162014 1245015 1660020 1743021 1936690 2324028 2490030 2905035 3486042 3873380 4980060 5810070 6972084 8715105 11620140 17430210 34860420