Search a number
-
+
328334340400 = 245211280126641
BaseRepresentation
bin1001100011100100100…
…00000111000100110000
31011101111011222122200221
410301302100013010300
520334412042343100
6410500144222424
732502300562633
oct4616220070460
91141434878627
10328334340400
111172781a2650
125377260aa14
1324c670abbc1
1411c6a283c1a
158819e6901a
hex4c72407130

328334340400 has 120 divisors (see below), whose sum is σ = 860873994288. Its totient is φ = 119347200000.

The previous prime is 328334340391. The next prime is 328334340401. The reversal of 328334340400 is 4043433823.

It is not an unprimeable number, because it can be changed into a prime (328334340401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12311080 + ... + 12337720.

Almost surely, 2328334340400 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 328334340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430436997144).

328334340400 is an abundant number, since it is smaller than the sum of its proper divisors (532539653888).

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

328334340400 is a wasteful number, since it uses less digits than its factorization.

328334340400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29471 (or 29460 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

The spelling of 328334340400 in words is "three hundred twenty-eight billion, three hundred thirty-four million, three hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 2801 4400 5602 11204 14005 22408 26641 28010 30811 44816 53282 56020 61622 70025 106564 112040 123244 133205 140050 154055 213128 224080 246488 266410 280100 293051 308110 426256 492976 532820 560200 586102 616220 666025 770275 1065640 1120400 1172204 1232440 1332050 1465255 1540550 2131280 2344408 2464880 2664100 2930510 3081100 4688816 5328200 5861020 6162200 7326275 10656400 11722040 12324400 14652550 23444080 29305100 58610200 74621441 117220400 149242882 298485764 373107205 596971528 746214410 820835851 1193943056 1492428820 1641671702 1865536025 2984857640 3283343404 3731072050 4104179255 5969715280 6566686808 7462144100 8208358510 13133373616 14924288200 16416717020 20520896275 29848576400 32833434040 41041792550 65666868080 82083585100 164167170200 328334340400