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474412344 = 233731711283
BaseRepresentation
bin11100010001101…
…111010100111000
31020001200122101120
4130101233110320
51432422143334
6115024145240
714520303240
oct3421572470
91201618346
10474412344
1122388001a
12112a68220
1377396583
1447014b20
152b9b1949
hex1c46f538

474412344 has 128 divisors (see below), whose sum is σ = 1420001280. Its totient is φ = 129225600.

The previous prime is 474412343. The next prime is 474412361. The reversal of 474412344 is 443214474.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474412343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 369127 + ... + 370409.

It is an arithmetic number, because the mean of its divisors is an integer number (11093760).

Almost surely, 2474412344 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 474412344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710000640).

474412344 is an abundant number, since it is smaller than the sum of its proper divisors (945588936).

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

474412344 is a wasteful number, since it uses less digits than its factorization.

474412344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401 (or 1397 counting only the distinct ones).

The product of its digits is 43008, while the sum is 33.

The square root of 474412344 is about 21781.0087920647. The cubic root of 474412344 is about 779.9234770425.

The spelling of 474412344 in words is "four hundred seventy-four million, four hundred twelve thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 71 84 93 124 142 168 186 213 217 248 284 372 426 434 497 568 651 744 852 868 994 1283 1302 1491 1704 1736 1988 2201 2566 2604 2982 3849 3976 4402 5132 5208 5964 6603 7698 8804 8981 10264 11928 13206 15396 15407 17608 17962 26412 26943 30792 30814 35924 39773 46221 52824 53886 61628 71848 79546 91093 92442 107772 119319 123256 159092 182186 184884 215544 238638 273279 278411 318184 364372 369768 477276 546558 556822 637651 728744 835233 954552 1093116 1113644 1275302 1670466 1912953 2186232 2227288 2550604 2823883 3340932 3825906 5101208 5647766 6681864 7651812 8471649 11295532 15303624 16943298 19767181 22591064 33886596 39534362 59301543 67773192 79068724 118603086 158137448 237206172 474412344