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468657342 = 23229283373
BaseRepresentation
bin11011111011110…
…010010010111110
31012122212021000100
4123323302102332
51424434013332
6114300541530
714420343636
oct3373622276
91178767010
10468657342
112205aa21a
12110b518a6
137612cc4a
14463576c6
152b22667c
hex1bef24be

468657342 has 72 divisors (see below), whose sum is σ = 1067170104. Its totient is φ = 148615488.

The previous prime is 468657337. The next prime is 468657367. The reversal of 468657342 is 243756864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1256268 + ... + 1256640.

It is an arithmetic number, because the mean of its divisors is an integer number (14821807).

Almost surely, 2468657342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468657342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533585052).

468657342 is an abundant number, since it is smaller than the sum of its proper divisors (598512762).

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

468657342 is a wasteful number, since it uses less digits than its factorization.

468657342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 490 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 468657342 is about 21648.4951440048. The cubic root of 468657342 is about 776.7569391245.

The spelling of 468657342 in words is "four hundred sixty-eight million, six hundred fifty-seven thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 29 58 83 87 166 174 249 261 373 498 522 746 747 841 1119 1494 1682 2238 2407 2523 3357 4814 5046 6714 7221 7569 10817 14442 15138 21634 21663 30959 32451 43326 61918 64902 69803 92877 97353 139606 185754 194706 209409 278631 313693 418818 557262 627386 628227 897811 941079 1256454 1795622 1882158 2693433 2823237 5386866 5646474 8080299 16160598 26036519 52073038 78109557 156219114 234328671 468657342