Search a number
-
+
332146656 = 25341271009
BaseRepresentation
bin10011110011000…
…010011111100000
3212010222210120000
4103303002133200
51140012143111
652543020000
711142125412
oct2363023740
9763883500
10332146656
11160540776
129329a600
1353a74baa
14321809b2
151e25dc56
hex13cc27e0

332146656 has 120 divisors (see below), whose sum is σ = 985501440. Its totient is φ = 109734912.

The previous prime is 332146649. The next prime is 332146667. The reversal of 332146656 is 656641233.

It is a super-2 number, since 2×3321466562 = 220642802183964672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 332146656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 328680 + ... + 329688.

It is an arithmetic number, because the mean of its divisors is an integer number (8212512).

Almost surely, 2332146656 is an apocalyptic number.

332146656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332146656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492750720).

332146656 is an abundant number, since it is smaller than the sum of its proper divisors (653354784).

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

332146656 is a wasteful number, since it uses less digits than its factorization.

332146656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1141 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 332146656 is about 18224.8911107858. The cubic root of 332146656 is about 692.5374999134.

Adding to 332146656 its reverse (656641233), we get a palindrome (988787889).

It can be divided in two parts, 33 and 2146656, that added together give a cube (2146689 = 1293).

The spelling of 332146656 in words is "three hundred thirty-two million, one hundred forty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 127 144 162 216 254 288 324 381 432 508 648 762 864 1009 1016 1143 1296 1524 2018 2032 2286 2592 3027 3048 3429 4036 4064 4572 6054 6096 6858 8072 9081 9144 10287 12108 12192 13716 16144 18162 18288 20574 24216 27243 27432 32288 36324 36576 41148 48432 54486 54864 72648 81729 82296 96864 108972 109728 128143 145296 163458 164592 217944 256286 290592 326916 329184 384429 435888 512572 653832 768858 871776 1025144 1153287 1307664 1537716 2050288 2306574 2615328 3075432 3459861 4100576 4613148 6150864 6919722 9226296 10379583 12301728 13839444 18452592 20759166 27678888 36905184 41518332 55357776 83036664 110715552 166073328 332146656