Search a number
-
+
471608340 = 223572473413
BaseRepresentation
bin11100000111000…
…010110000010100
31012212102012000120
4130013002300110
51431212431330
6114444111540
714454414300
oct3407026024
91185365016
10471608340
11222235365
12111b355b0
13769241b8
14468c4d00
152b60ac10
hex1c1c2c14

471608340 has 144 divisors (see below), whose sum is σ = 1569238272. Its totient is φ = 105471744.

The previous prime is 471608323. The next prime is 471608359. The reversal of 471608340 is 43806174.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136474 + ... + 139886.

It is an arithmetic number, because the mean of its divisors is an integer number (10897488).

Almost surely, 2471608340 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 471608340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784619136).

471608340 is an abundant number, since it is smaller than the sum of its proper divisors (1097629932).

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

471608340 is a wasteful number, since it uses less digits than its factorization.

471608340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3486 (or 3477 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 471608340 is about 21716.5453053657. The cubic root of 471608340 is about 778.3838660976.

The spelling of 471608340 in words is "four hundred seventy-one million, six hundred eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 47 49 60 70 84 94 98 105 140 141 147 188 196 210 235 245 282 294 329 420 470 490 564 588 658 705 735 940 980 987 1316 1410 1470 1645 1974 2303 2820 2940 3290 3413 3948 4606 4935 6580 6826 6909 9212 9870 10239 11515 13652 13818 17065 19740 20478 23030 23891 27636 34130 34545 40956 46060 47782 51195 68260 69090 71673 95564 102390 119455 138180 143346 160411 167237 204780 238910 286692 320822 334474 358365 477820 481233 501711 641644 668948 716730 802055 836185 962466 1003422 1122877 1433460 1604110 1672370 1924932 2006844 2245754 2406165 2508555 3208220 3344740 3368631 4491508 4812330 5017110 5614385 6737262 7860139 9624660 10034220 11228770 13474524 15720278 16843155 22457540 23580417 31440556 33686310 39300695 47160834 67372620 78601390 94321668 117902085 157202780 235804170 471608340