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34875720 = 23325118807
BaseRepresentation
bin1000010100001…
…0100101001000
32102121212111100
42011002211020
532412010340
63243301400
7602303325
oct205024510
972555440
1034875720
1118760710
12b81a860
1372c1329
1448bbb4c
1530dd830
hex2142948

34875720 has 96 divisors (see below), whose sum is σ = 123664320. Its totient is φ = 8453760.

The previous prime is 34875691. The next prime is 34875733. The reversal of 34875720 is 2757843.

34875720 is a `hidden beast` number, since 3 + 4 + 87 + 572 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 444 + ... + 8363.

It is an arithmetic number, because the mean of its divisors is an integer number (1288170).

Almost surely, 234875720 is an apocalyptic number.

34875720 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 34875720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61832160).

34875720 is an abundant number, since it is smaller than the sum of its proper divisors (88788600).

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

34875720 is a wasteful number, since it uses less digits than its factorization.

34875720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8835 (or 8828 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 34875720 is about 5905.5668652552. The cubic root of 34875720 is about 326.7190022123.

The spelling of 34875720 in words is "thirty-four million, eight hundred seventy-five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 8807 17614 26421 35228 44035 52842 70456 79263 88070 96877 105684 132105 158526 176140 193754 211368 264210 290631 317052 352280 387508 396315 484385 528420 581262 634104 775016 792630 871893 968770 1056840 1162524 1453155 1585260 1743786 1937540 2325048 2906310 3170520 3487572 3875080 4359465 5812620 6975144 8718930 11625240 17437860 34875720