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368829468 = 223272375651
BaseRepresentation
bin10101111110111…
…110010000011100
3221201000110220200
4111332332100130
51223410020333
6100333143500
712065666400
oct2576762034
9851013820
10368829468
1117a216047
12a362ab90
135b5498b7
1436dad100
15225a7c13
hex15fbe41c

368829468 has 108 divisors (see below), whose sum is σ = 1114043112. Its totient is φ = 102513600.

The previous prime is 368829443. The next prime is 368829469. The reversal of 368829468 is 864928863.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368829469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 62443 + ... + 68093.

It is an arithmetic number, because the mean of its divisors is an integer number (10315214).

Almost surely, 2368829468 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 368829468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557021556).

368829468 is an abundant number, since it is smaller than the sum of its proper divisors (745213644).

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

368829468 is a wasteful number, since it uses less digits than its factorization.

368829468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5712 (or 5700 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 368829468 is about 19204.9334286792. The cubic root of 368829468 is about 717.1475802492.

The spelling of 368829468 in words is "three hundred sixty-eight million, eight hundred twenty-nine thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 49 63 74 84 98 111 126 147 148 196 222 252 259 294 333 441 444 518 588 666 777 882 1036 1332 1554 1764 1813 2331 3108 3626 4662 5439 5651 7252 9324 10878 11302 16317 16953 21756 22604 32634 33906 39557 50859 65268 67812 79114 101718 118671 158228 203436 209087 237342 276899 356013 418174 474684 553798 627261 712026 830697 836348 1107596 1254522 1424052 1463609 1661394 1881783 2492091 2509044 2927218 3322788 3763566 4390827 4984182 5854436 7527132 8781654 9968364 10245263 13172481 17563308 20490526 26344962 30735789 40981052 52689924 61471578 92207367 122943156 184414734 368829468