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630706384 = 2471129127139
BaseRepresentation
bin100101100101111…
…101000011010000
31121221210012111201
4211211331003100
52242430101014
6142330120544
721425626060
oct4545750320
91557705451
10630706384
112a4021050
12157280154
13a088a259
145da9b3a0
153a585e74
hex2597d0d0

630706384 has 160 divisors (see below), whose sum is σ = 1599897600. Its totient is φ = 233694720.

The previous prime is 630706369. The next prime is 630706393. The reversal of 630706384 is 483607036.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4537387 + ... + 4537525.

It is an arithmetic number, because the mean of its divisors is an integer number (9999360).

Almost surely, 2630706384 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 630706384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799948800).

630706384 is an abundant number, since it is smaller than the sum of its proper divisors (969191216).

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

630706384 is a wasteful number, since it uses less digits than its factorization.

630706384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The square root of 630706384 is about 25113.8683599321. The cubic root of 630706384 is about 857.5821686002.

The spelling of 630706384 in words is "six hundred thirty million, seven hundred six thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 44 56 58 77 88 112 116 127 139 154 176 203 232 254 278 308 319 406 464 508 556 616 638 812 889 973 1016 1112 1232 1276 1397 1529 1624 1778 1946 2032 2224 2233 2552 2794 3058 3248 3556 3683 3892 4031 4466 5104 5588 6116 7112 7366 7784 8062 8932 9779 10703 11176 12232 14224 14732 15568 16124 17653 17864 19558 21406 22352 24464 25781 28217 29464 32248 35306 35728 39116 40513 42812 44341 51562 56434 58928 64496 70612 78232 81026 85624 88682 103124 112868 123571 141224 156464 162052 171248 177364 194183 206248 225736 247142 282448 283591 310387 324104 354728 388366 412496 451472 494284 511937 567182 620774 648208 709456 776732 988568 1023874 1134364 1241548 1359281 1553464 1977136 2047748 2268728 2483096 2718562 3106928 3583559 4095496 4537456 4966192 5437124 5631307 7167118 8190992 10874248 11262614 14334236 21748496 22525228 28668472 39419149 45050456 57336944 78838298 90100912 157676596 315353192 630706384