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34214832 = 243379201
BaseRepresentation
bin1000001010000…
…1001110110000
32101101021221000
42002201032300
532224333312
63221202000
7563551461
oct202411660
971337830
1034214832
111834a123
12b560300
13711c582
144788d68
15300cadc
hex20a13b0

34214832 has 40 divisors (see below), whose sum is σ = 98210480. Its totient is φ = 11404800.

The previous prime is 34214813. The next prime is 34214833. The reversal of 34214832 is 23841243.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 34214796 and 34214805.

It is not an unprimeable number, because it can be changed into a prime (34214833) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39169 + ... + 40032.

It is an arithmetic number, because the mean of its divisors is an integer number (2455262).

Almost surely, 234214832 is an apocalyptic number.

It is an amenable number.

34214832 is an abundant number, since it is smaller than the sum of its proper divisors (63995648).

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

34214832 is a wasteful number, since it uses less digits than its factorization.

34214832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79218 (or 79206 counting only the distinct ones).

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

The square root of 34214832 is about 5849.3445786686. The cubic root of 34214832 is about 324.6420738066.

The spelling of 34214832 in words is "thirty-four million, two hundred fourteen thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 79201 158402 237603 316804 475206 633608 712809 950412 1267216 1425618 1900824 2138427 2851236 3801648 4276854 5702472 8553708 11404944 17107416 34214832