Search a number
-
+
333214064 = 242359103149
BaseRepresentation
bin10011110111000…
…111000101110000
3212020000000202122
4103313013011300
51140300322224
653021533412
711154162401
oct2367070560
9766000678
10333214064
111610aa727
1293714268
13540599b1
143237b9a8
151e3c015e
hex13dc7170

333214064 has 80 divisors (see below), whose sum is σ = 696384000. Its totient is φ = 154099968.

The previous prime is 333214043. The next prime is 333214081. The reversal of 333214064 is 460412333.

It is a happy number.

It is a super-2 number, since 2×3332140642 = 222063224894792192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2236262 + ... + 2236410.

It is an arithmetic number, because the mean of its divisors is an integer number (8704800).

Almost surely, 2333214064 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 333214064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348192000).

333214064 is an abundant number, since it is smaller than the sum of its proper divisors (363169936).

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

333214064 is a wasteful number, since it uses less digits than its factorization.

333214064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The square root of 333214064 is about 18254.1519660597. The cubic root of 333214064 is about 693.2785677485.

Adding to 333214064 its reverse (460412333), we get a palindrome (793626397).

The spelling of 333214064 in words is "three hundred thirty-three million, two hundred fourteen thousand, sixty-four".

Divisors: 1 2 4 8 16 23 46 59 92 103 118 149 184 206 236 298 368 412 472 596 824 944 1192 1357 1648 2369 2384 2714 3427 4738 5428 6077 6854 8791 9476 10856 12154 13708 15347 17582 18952 21712 24308 27416 30694 35164 37904 48616 54832 61388 70328 97232 122776 139771 140656 202193 245552 279542 352981 404386 559084 705962 808772 905473 1118168 1411924 1617544 1810946 2236336 2823848 3235088 3621892 5647696 7243784 14487568 20825879 41651758 83303516 166607032 333214064