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450131346 = 2327231101163
BaseRepresentation
bin11010110101000…
…111010110010010
31011101000001010100
4122311013112102
51410213200341
6112355513230
714104024200
oct3265072622
91141001110
10450131346
112110a6385
121068b8816
1372344712
1443ad4070
15297b73b6
hex1ad47592

450131346 has 144 divisors (see below), whose sum is σ = 1189963008. Its totient is φ = 122472000.

The previous prime is 450131329. The next prime is 450131347. The reversal of 450131346 is 643131054.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450131347) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2761461 + ... + 2761623.

It is an arithmetic number, because the mean of its divisors is an integer number (8263632).

Almost surely, 2450131346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450131346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594981504).

450131346 is an abundant number, since it is smaller than the sum of its proper divisors (739831662).

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

450131346 is a wasteful number, since it uses less digits than its factorization.

450131346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 450131346 is about 21216.2990646342. The cubic root of 450131346 is about 766.3839819399.

The spelling of 450131346 in words is "four hundred fifty million, one hundred thirty-one thousand, three hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 49 62 63 93 98 101 126 147 163 186 202 217 279 294 303 326 434 441 489 558 606 651 707 882 909 978 1141 1302 1414 1467 1519 1818 1953 2121 2282 2934 3038 3131 3423 3906 4242 4557 4949 5053 6262 6363 6846 7987 9114 9393 9898 10106 10269 12726 13671 14847 15159 15974 16463 18786 20538 21917 23961 27342 28179 29694 30318 32926 35371 43834 44541 45477 47922 49389 56358 65751 70742 71883 89082 90954 98778 106113 115241 131502 143766 148167 153419 197253 212226 230482 247597 296334 306838 318339 345723 394506 460257 495194 510353 636678 691446 742791 806687 920514 1020706 1037169 1380771 1485582 1531059 1613374 2074338 2228373 2420061 2761542 3062118 3572471 4456746 4593177 4840122 7144942 7260183 9186354 10717413 14520366 21434826 25007297 32152239 50014594 64304478 75021891 150043782 225065673 450131346