Search a number
-
+
1643040240 = 243529236069
BaseRepresentation
bin110000111101110…
…1100110111110000
311020111200002111020
41201323230313300
511331104241430
6431012015440
755500416532
oct14173546760
94214602436
101643040240
117734a94a6
1239a301580
1320252537a
141182d9852
15993a1b10
hex61eecdf0

1643040240 has 80 divisors (see below), whose sum is σ = 5269082400. Its totient is φ = 423033856.

The previous prime is 1643040221. The next prime is 1643040247. The reversal of 1643040240 is 420403461.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1643040240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1643040247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111075 + ... + 124994.

It is an arithmetic number, because the mean of its divisors is an integer number (65863530).

Almost surely, 21643040240 is an apocalyptic number.

1643040240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1643040240 is an abundant number, since it is smaller than the sum of its proper divisors (3626042160).

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

1643040240 is a wasteful number, since it uses less digits than its factorization.

1643040240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236114 (or 236108 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1643040240 is about 40534.4327701770. The cubic root of 1643040240 is about 1180.0019726099.

The spelling of 1643040240 in words is "one billion, six hundred forty-three million, forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 2320 3480 6960 236069 472138 708207 944276 1180345 1416414 1888552 2360690 2832828 3541035 3777104 4721380 5665656 6846001 7082070 9442760 11331312 13692002 14164140 18885520 20538003 27384004 28328280 34230005 41076006 54768008 56656560 68460010 82152012 102690015 109536016 136920020 164304024 205380030 273840040 328608048 410760060 547680080 821520120 1643040240