Search a number
-
+
355019328 = 2633415011
BaseRepresentation
bin10101001010010…
…010101001000000
3220202000211222000
4111022102221000
51211341104303
655121144000
711540420526
oct2512225100
9822024860
10355019328
11172443304
129aa8b000
1358722a11
1435216316
152127ada3
hex15292a40

355019328 has 112 divisors (see below), whose sum is σ = 1069360320. Its totient is φ = 115430400.

The previous prime is 355019317. The next prime is 355019333. The reversal of 355019328 is 823910553.

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

It is a junction number, because it is equal to n+sod(n) for n = 355019292 and 355019301.

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, 68343 + ... + 73353.

It is an arithmetic number, because the mean of its divisors is an integer number (9547860).

Almost surely, 2355019328 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 355019328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534680160).

355019328 is an abundant number, since it is smaller than the sum of its proper divisors (714340992).

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

355019328 is a wasteful number, since it uses less digits than its factorization.

355019328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5073 (or 5057 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 355019328 is about 18841.9565862996. The cubic root of 355019328 is about 708.0827251800.

The spelling of 355019328 in words is "three hundred fifty-five million, nineteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 82 96 108 123 144 164 192 216 246 288 328 369 432 492 576 656 738 864 984 1107 1312 1476 1728 1968 2214 2624 2952 3936 4428 5011 5904 7872 8856 10022 11808 15033 17712 20044 23616 30066 35424 40088 45099 60132 70848 80176 90198 120264 135297 160352 180396 205451 240528 270594 320704 360792 410902 481056 541188 616353 721584 821804 962112 1082376 1232706 1443168 1643608 1849059 2164752 2465412 2886336 3287216 3698118 4329504 4930824 5547177 6574432 7396236 8659008 9861648 11094354 13148864 14792472 19723296 22188708 29584944 39446592 44377416 59169888 88754832 118339776 177509664 355019328