Search a number
-
+
469341216 = 2534434211
BaseRepresentation
bin11011111110011…
…001010000100000
31012201011000010000
4123332121100200
51430122404331
6114323340000
714426222511
oct3376312040
91181130100
10469341216
11220a27003
12111221600
137630c2c6
1446494a08
152b30e0e6
hex1bf99420

469341216 has 120 divisors (see below), whose sum is σ = 1412755344. Its totient is φ = 152772480.

The previous prime is 469341203. The next prime is 469341217. The reversal of 469341216 is 612143964.

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

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

It is not an unprimeable number, because it can be changed into a prime (469341217) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 109351 + ... + 113561.

Almost surely, 2469341216 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 469341216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706377672).

469341216 is an abundant number, since it is smaller than the sum of its proper divisors (943414128).

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

469341216 is a wasteful number, since it uses less digits than its factorization.

469341216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4276 (or 4259 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 469341216 is about 21664.2843408223. The cubic root of 469341216 is about 777.1345751610.

The spelling of 469341216 in words is "four hundred sixty-nine million, three hundred forty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 72 81 86 96 108 129 144 162 172 216 258 288 324 344 387 432 516 648 688 774 864 1032 1161 1296 1376 1548 2064 2322 2592 3096 3483 4128 4211 4644 6192 6966 8422 9288 12384 12633 13932 16844 18576 25266 27864 33688 37152 37899 50532 55728 67376 75798 101064 111456 113697 134752 151596 181073 202128 227394 303192 341091 362146 404256 454788 543219 606384 682182 724292 909576 1086438 1212768 1364364 1448584 1629657 1819152 2172876 2728728 2897168 3259314 3638304 4345752 4888971 5457456 5794336 6518628 8691504 9777942 10914912 13037256 14666913 17383008 19555884 26074512 29333826 39111768 52149024 58667652 78223536 117335304 156447072 234670608 469341216