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334430320 = 24572920593
BaseRepresentation
bin10011111011110…
…000000001110000
3212022021211011011
4103323300001300
51141103232240
653104000304
711200416340
oct2373600160
9768254134
10334430320
111618604a4
1294000094
1354394483
14325b6d20
151e5606ea
hex13ef0070

334430320 has 80 divisors (see below), whose sum is σ = 919316160. Its totient is φ = 110702592.

The previous prime is 334430303. The next prime is 334430329. The reversal of 334430320 is 23034433.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3344303202 = 223687277870604800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334430291 and 334430300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334430329) by changing a digit.

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, 5944 + ... + 26536.

It is an arithmetic number, because the mean of its divisors is an integer number (11491452).

Almost surely, 2334430320 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 334430320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459658080).

334430320 is an abundant number, since it is smaller than the sum of its proper divisors (584885840).

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

334430320 is a wasteful number, since it uses less digits than its factorization.

334430320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20642 (or 20636 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 22.

The square root of 334430320 is about 18287.4361242904. The cubic root of 334430320 is about 694.1210495690.

Adding to 334430320 its reverse (23034433), we get a palindrome (357464753).

The spelling of 334430320 in words is "three hundred thirty-four million, four hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 35 40 56 58 70 80 112 116 140 145 203 232 280 290 406 464 560 580 812 1015 1160 1624 2030 2320 3248 4060 8120 16240 20593 41186 82372 102965 144151 164744 205930 288302 329488 411860 576604 597197 720755 823720 1153208 1194394 1441510 1647440 2306416 2388788 2883020 2985985 4180379 4777576 5766040 5971970 8360758 9555152 11532080 11943940 16721516 20901895 23887880 33443032 41803790 47775760 66886064 83607580 167215160 334430320