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34724820 = 22351344519
BaseRepresentation
bin1000010001110…
…1101111010100
32102100012111110
42010131233110
532342143240
63240135020
7601104354
oct204355724
972305443
1034724820
11186682a9
12b767470
13726a740
14487cb64
1530adc80
hex211dbd4

34724820 has 48 divisors (see below), whose sum is σ = 104711040. Its totient is φ = 8547456.

The previous prime is 34724819. The next prime is 34724831. The reversal of 34724820 is 2842743.

34724820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21480 + ... + 23039.

It is an arithmetic number, because the mean of its divisors is an integer number (2181480).

Almost surely, 234724820 is an apocalyptic number.

34724820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34724820 is an abundant number, since it is smaller than the sum of its proper divisors (69986220).

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

34724820 is a wasteful number, since it uses less digits than its factorization.

34724820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44544 (or 44542 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 34724820 is about 5892.7769345191. The cubic root of 34724820 is about 326.2471058594.

The spelling of 34724820 in words is "thirty-four million, seven hundred twenty-four thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 44519 89038 133557 178076 222595 267114 445190 534228 578747 667785 890380 1157494 1335570 1736241 2314988 2671140 2893735 3472482 5787470 6944964 8681205 11574940 17362410 34724820