Search a number
-
+
34430280 = 23351915101
BaseRepresentation
bin1000001101010…
…1110101001000
32101210020110120
42003111311020
532303232110
63225543240
7565436553
oct203256510
971706416
1034430280
1118486a85
12b644b20
137196661
14480369a
153051870
hex20d5d48

34430280 has 64 divisors (see below), whose sum is σ = 108734400. Its totient is φ = 8697600.

The previous prime is 34430267. The next prime is 34430293. The reversal of 34430280 is 8203443.

It is an interprime number because it is at equal distance from previous prime (34430267) and next prime (34430293).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 34430280.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5271 + ... + 9830.

It is an arithmetic number, because the mean of its divisors is an integer number (1698975).

Almost surely, 234430280 is an apocalyptic number.

34430280 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34430280 is an abundant number, since it is smaller than the sum of its proper divisors (74304120).

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

34430280 is a wasteful number, since it uses less digits than its factorization.

34430280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15134 (or 15130 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 34430280 is about 5867.7321002241. The cubic root of 34430280 is about 325.3220633843.

The spelling of 34430280 in words is "thirty-four million, four hundred thirty thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 15101 30202 45303 60404 75505 90606 120808 151010 181212 226515 286919 302020 362424 453030 573838 604040 860757 906060 1147676 1434595 1721514 1812120 2295352 2869190 3443028 4303785 5738380 6886056 8607570 11476760 17215140 34430280