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3423324100 = 2252729316691
BaseRepresentation
bin1100110000001011…
…1100011111000100
322211120120212211111
43030002330133010
524002332332400
61323405414404
7150555526510
oct31402743704
98746525744
103423324100
1114a7417079
127b656a404
13427301281
1424691d140
151508133ba
hexcc0bc7c4

3423324100 has 72 divisors (see below), whose sum is σ = 8519329728. Its totient is φ = 1169635200.

The previous prime is 3423324061. The next prime is 3423324181. The reversal of 3423324100 is 14233243.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196755 + ... + 213445.

It is an arithmetic number, because the mean of its divisors is an integer number (118324024).

Almost surely, 23423324100 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 3423324100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4259664864).

3423324100 is an abundant number, since it is smaller than the sum of its proper divisors (5096005628).

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

3423324100 is a wasteful number, since it uses less digits than its factorization.

3423324100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17005 (or 16998 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 3423324100 is about 58509.1796216628. The cubic root of 3423324100 is about 1507.1252264337.

Adding to 3423324100 its reverse (14233243), we get a palindrome (3437557343).

The spelling of 3423324100 in words is "three billion, four hundred twenty-three million, three hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 293 350 586 700 1172 1465 2051 2930 4102 5860 7325 8204 10255 14650 16691 20510 29300 33382 41020 51275 66764 83455 102550 116837 166910 205100 233674 333820 417275 467348 584185 834550 1168370 1669100 2336740 2920925 4890463 5841850 9780926 11683700 19561852 24452315 34233241 48904630 68466482 97809260 122261575 136932964 171166205 244523150 342332410 489046300 684664820 855831025 1711662050 3423324100