Search a number
-
+
738240 = 2635769
BaseRepresentation
bin10110100001111000000
31101111200020
42310033000
5142110430
623453440
76163206
oct2641700
91344606
10738240
11464718
122b7280
131cb039
14153076
15e8b10
hexb43c0

738240 has 56 divisors (see below), whose sum is σ = 2346960. Its totient is φ = 196608.

The previous prime is 738223. The next prime is 738247. The reversal of 738240 is 42837.

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 738240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (738247) by changing a digit.

738240 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 576 + ... + 1344.

It is an arithmetic number, because the mean of its divisors is an integer number (41910).

2738240 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 738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173480).

738240 is an abundant number, since it is smaller than the sum of its proper divisors (1608720).

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

738240 is a wasteful number, since it uses less digits than its factorization.

738240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 738240 is about 859.2089385010. The cubic root of 738240 is about 90.3786516013.

The spelling of 738240 in words is "seven hundred thirty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 769 960 1538 2307 3076 3845 4614 6152 7690 9228 11535 12304 15380 18456 23070 24608 30760 36912 46140 49216 61520 73824 92280 123040 147648 184560 246080 369120 738240