Search a number
-
+
1644205368 = 2331334715187
BaseRepresentation
bin110001000000000…
…1001010100111000
311020120212021202010
41202000021110320
511331404032433
6431053005520
755513341441
oct14200112470
94216767663
101644205368
11774124913
1239a7838a0
132028427b0
141185202c8
1599531e63
hex62009538

1644205368 has 64 divisors (see below), whose sum is σ = 4439756160. Its totient is φ = 504418176.

The previous prime is 1644205351. The next prime is 1644205397. The reversal of 1644205368 is 8635024461.

It is a super-3 number, since 3×16442053683 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100671 + ... + 115857.

It is an arithmetic number, because the mean of its divisors is an integer number (69371190).

Almost surely, 21644205368 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 1644205368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2219878080).

1644205368 is an abundant number, since it is smaller than the sum of its proper divisors (2795550792).

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

1644205368 is a wasteful number, since it uses less digits than its factorization.

1644205368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15556 (or 15552 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 1644205368 is about 40548.8023004379. The cubic root of 1644205368 is about 1180.2808313682.

The spelling of 1644205368 in words is "one billion, six hundred forty-four million, two hundred five thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 347 694 1041 1388 2082 2776 4164 4511 8328 9022 13533 15187 18044 27066 30374 36088 45561 54132 60748 91122 108264 121496 182244 197431 364488 394862 592293 789724 1184586 1579448 2369172 4738344 5269889 10539778 15809667 21079556 31619334 42159112 63238668 68508557 126477336 137017114 205525671 274034228 411051342 548068456 822102684 1644205368