Search a number
-
+
328672848 = 24373472819
BaseRepresentation
bin10011100101110…
…010011001010000
3211220110022101110
4103211302121100
51133120012343
652340333320
711100446610
oct2345623120
9756408343
10328672848
11159588859
12920a4240
135312999a
1431918a40
151dcc4833
hex13972650

328672848 has 80 divisors (see below), whose sum is σ = 973509120. Its totient is φ = 93602688.

The previous prime is 328672847. The next prime is 328672853. The reversal of 328672848 is 848276823.

It is a happy number.

It is a super-2 number, since 2×3286728482 = 216051682024862208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 328672797 and 328672806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328672847) 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, 115183 + ... + 118001.

It is an arithmetic number, because the mean of its divisors is an integer number (12168864).

Almost surely, 2328672848 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 328672848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486754560).

328672848 is an abundant number, since it is smaller than the sum of its proper divisors (644836272).

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

328672848 is a wasteful number, since it uses less digits than its factorization.

328672848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3184 (or 3178 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 48.

The square root of 328672848 is about 18129.3366674018. The cubic root of 328672848 is about 690.1146963293.

The spelling of 328672848 in words is "three hundred twenty-eight million, six hundred seventy-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 347 694 1041 1388 2082 2429 2776 2819 4164 4858 5552 5638 7287 8328 8457 9716 11276 14574 16656 16914 19432 19733 22552 29148 33828 38864 39466 45104 58296 59199 67656 78932 116592 118398 135312 157864 236796 315728 473592 947184 978193 1956386 2934579 3912772 5869158 6847351 7825544 11738316 13694702 15651088 20542053 23476632 27389404 41084106 46953264 54778808 82168212 109557616 164336424 328672848