Search a number
-
+
1643230640 = 245313971669
BaseRepresentation
bin110000111110001…
…1011010110110000
311020112000202200002
41201330123112300
511331131340030
6431020045132
755502141612
oct14174332660
94215022602
101643230640
11773619557
1239a3937a8
13202590c2c
14118348db2
15993dd245
hex61f1b5b0

1643230640 has 80 divisors (see below), whose sum is σ = 3956056320. Its totient is φ = 634106880.

The previous prime is 1643230619. The next prime is 1643230651. The reversal of 1643230640 is 460323461.

It is a tau number, because it is divible by the number of its divisors (80).

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, 983726 + ... + 985394.

It is an arithmetic number, because the mean of its divisors is an integer number (49450704).

Almost surely, 21643230640 is an apocalyptic number.

1643230640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1643230640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1978028160).

1643230640 is an abundant number, since it is smaller than the sum of its proper divisors (2312825680).

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

1643230640 is a wasteful number, since it uses less digits than its factorization.

1643230640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2110 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 1643230640 is about 40536.7813226457. The cubic root of 1643230640 is about 1180.0475514688.

The spelling of 1643230640 in words is "one billion, six hundred forty-three million, two hundred thirty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 397 496 620 794 1240 1588 1669 1985 2480 3176 3338 3970 6352 6676 7940 8345 12307 13352 15880 16690 24614 26704 31760 33380 49228 51739 61535 66760 98456 103478 123070 133520 196912 206956 246140 258695 413912 492280 517390 662593 827824 984560 1034780 1325186 2069560 2650372 3312965 4139120 5300744 6625930 10601488 13251860 20540383 26503720 41080766 53007440 82161532 102701915 164323064 205403830 328646128 410807660 821615320 1643230640