Search a number
-
+
738036 = 2232131983
BaseRepresentation
bin10110100001011110100
31101111101200
42310023310
5142104121
623452500
76162465
oct2641364
91344350
10738036
11464552
122b7130
131cac10
14152d6c
15e8a26
hexb42f4

738036 has 72 divisors (see below), whose sum is σ = 2140320. Its totient is φ = 212544.

The previous prime is 738029. The next prime is 738043. The reversal of 738036 is 630837.

It is a happy number.

738036 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (738029) and next prime (738043).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 738036.

It is an unprimeable number.

738036 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 23 ways as a sum of consecutive naturals, for example, 8851 + ... + 8933.

2738036 is an apocalyptic number.

738036 is a gapful number since it is divisible by the number (76) 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 738036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070160).

738036 is an abundant number, since it is smaller than the sum of its proper divisors (1402284).

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

738036 is a wasteful number, since it uses less digits than its factorization.

738036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 738036 is about 859.0902164499. The cubic root of 738036 is about 90.3703259694.

The spelling of 738036 in words is "seven hundred thirty-eight thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 83 114 117 156 166 171 228 234 247 249 332 342 468 494 498 684 741 747 988 996 1079 1482 1494 1577 2158 2223 2964 2988 3154 3237 4316 4446 4731 6308 6474 8892 9462 9711 12948 14193 18924 19422 20501 28386 38844 41002 56772 61503 82004 123006 184509 246012 369018 738036