Search a number
-
+
34276880 = 2451123541
BaseRepresentation
bin1000001011000…
…0011000010000
32101111110001002
42002300120100
532233330010
63222401132
7564230411
oct202603020
971443032
1034276880
1118391800
12b5901a8
1371418a1
1447a3808
1530211a5
hex20b0610

34276880 has 60 divisors (see below), whose sum is σ = 87621996. Its totient is φ = 12460800.

The previous prime is 34276871. The next prime is 34276901. The reversal of 34276880 is 8867243.

It can be written as a sum of positive squares in 2 ways, for example, as 13337104 + 20939776 = 3652^2 + 4576^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7910 + ... + 11450.

Almost surely, 234276880 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 34276880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43810998).

34276880 is an abundant number, since it is smaller than the sum of its proper divisors (53345116).

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

34276880 is a wasteful number, since it uses less digits than its factorization.

34276880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3576 (or 3559 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 34276880 is about 5854.6460183345. The cubic root of 34276880 is about 324.8381995403.

The spelling of 34276880 in words is "thirty-four million, two hundred seventy-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 880 968 1210 1936 2420 3541 4840 7082 9680 14164 17705 28328 35410 38951 56656 70820 77902 141640 155804 194755 283280 311608 389510 428461 623216 779020 856922 1558040 1713844 2142305 3116080 3427688 4284610 6855376 8569220 17138440 34276880