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840636468 = 223471721803
BaseRepresentation
bin110010000110110…
…001100000110100
32011120210202110000
4302012301200310
53210200331333
6215225431300
726555202120
oct6206614064
92146722400
10840636468
113a1576691
121b563b530
13105210339
147d906580
154dc02713
hex321b1834

840636468 has 120 divisors (see below), whose sum is σ = 2659390272. Its totient is φ = 226043136.

The previous prime is 840636443. The next prime is 840636469. The reversal of 840636468 is 864636048.

840636468 is a `hidden beast` number, since 8 + 4 + 0 + 636 + 4 + 6 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (840636469) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27655 + ... + 49457.

Almost surely, 2840636468 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 840636468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329695136).

840636468 is an abundant number, since it is smaller than the sum of its proper divisors (1818753804).

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

840636468 is a wasteful number, since it uses less digits than its factorization.

840636468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21843 (or 21832 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 840636468 is about 28993.7315294186. The cubic root of 840636468 is about 943.7770423490. Note that the first 3 decimals are identical.

The spelling of 840636468 in words is "eight hundred forty million, six hundred thirty-six thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 81 84 102 108 119 126 153 162 189 204 238 252 306 324 357 378 459 476 567 612 714 756 918 1071 1134 1377 1428 1836 2142 2268 2754 3213 4284 5508 6426 9639 12852 19278 21803 38556 43606 65409 87212 130818 152621 196227 261636 305242 370651 392454 457863 588681 610484 741302 784908 915726 1111953 1177362 1373589 1482604 1766043 1831452 2223906 2354724 2594557 2747178 3335859 3532086 4120767 4447812 5189114 5494356 6671718 7064172 7783671 8241534 10007577 10378228 12362301 13343436 15567342 16483068 20015154 23351013 24724602 30022731 31134684 40030308 46702026 49449204 60045462 70053039 93404052 120090924 140106078 210159117 280212156 420318234 840636468