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474229314 = 2321317971229
BaseRepresentation
bin11100010001000…
…010101001000010
31020001100100022200
4130101002221002
51432400314224
6115020214030
714515611516
oct3421025102
91201310280
10474229314
11223765559
1211299a316
1377331180
1446da8146
152b9775c9
hex1c442a42

474229314 has 96 divisors (see below), whose sum is σ = 1184667120. Its totient is φ = 135806976.

The previous prime is 474229313. The next prime is 474229321. The reversal of 474229314 is 413922474.

It can be written as a sum of positive squares in 8 ways, for example, as 355963689 + 118265625 = 18867^2 + 10875^2 .

It is not an unprimeable number, because it can be changed into a prime (474229313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 385252 + ... + 386480.

Almost surely, 2474229314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 474229314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592333560).

474229314 is an abundant number, since it is smaller than the sum of its proper divisors (710437806).

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

474229314 is a wasteful number, since it uses less digits than its factorization.

474229314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 1361 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 474229314 is about 21776.8067907120. The cubic root of 474229314 is about 779.8231650407.

The spelling of 474229314 in words is "four hundred seventy-four million, two hundred twenty-nine thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 97 102 117 153 194 221 234 291 306 442 582 663 873 1229 1261 1326 1649 1746 1989 2458 2522 3298 3687 3783 3978 4947 7374 7566 9894 11061 11349 14841 15977 20893 21437 22122 22698 29682 31954 41786 42874 47931 62679 64311 95862 119213 125358 128622 143793 188037 192933 238426 271609 287586 357639 376074 385866 543218 715278 814827 1072917 1549769 1629654 2026621 2145834 2444481 3099538 4053242 4649307 4888962 6079863 9298614 12159726 13947921 18239589 26346073 27895842 36479178 52692146 79038219 158076438 237114657 474229314