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631141434 = 232711659691
BaseRepresentation
bin100101100111100…
…111010000111010
31121222121022021200
4211213213100322
52243033011214
6142343315030
721432420330
oct4547472072
91558538250
10631141434
112a42989a0
1215744ba76
13a09b0291
145db71b50
153a61ed09
hex259e743a

631141434 has 96 divisors (see below), whose sum is σ = 1709959680. Its totient is φ = 163447200.

The previous prime is 631141421. The next prime is 631141447. The reversal of 631141434 is 434141136.

631141434 is a `hidden beast` number, since 631 + 14 + 14 + 3 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (631141421) and next prime (631141447).

It is a junction number, because it is equal to n+sod(n) for n = 631141398 and 631141407.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 913029 + ... + 913719.

It is an arithmetic number, because the mean of its divisors is an integer number (17812080).

Almost surely, 2631141434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 631141434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854979840).

631141434 is an abundant number, since it is smaller than the sum of its proper divisors (1078818246).

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

631141434 is a wasteful number, since it uses less digits than its factorization.

631141434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 1373 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 631141434 is about 25122.5284157467. The cubic root of 631141434 is about 857.7793049016.

The spelling of 631141434 in words is "six hundred thirty-one million, one hundred forty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 659 691 693 1318 1382 1386 1977 2073 3954 4146 4613 4837 5931 6219 7249 7601 9226 9674 11862 12438 13839 14498 14511 15202 21747 22803 27678 29022 41517 43494 43533 45606 50743 53207 65241 68409 83034 87066 101486 106414 130482 136818 152229 159621 304458 319242 455369 456687 478863 910738 913374 957726 1366107 2732214 3187583 4098321 5009059 6375166 8196642 9562749 10018118 15027177 19125498 28688247 30054354 35063413 45081531 57376494 70126826 90163062 105190239 210380478 315570717 631141434