Search a number
-
+
356226040 = 23541832617
BaseRepresentation
bin10101001110111…
…001001111111000
3220211022011021001
4111032321033320
51212143213130
655203054344
711553604612
oct2516711770
9824264231
10356226040
11173097995
129b3713b4
1358a56051
143544bdb2
15214186ca
hex153b93f8

356226040 has 64 divisors (see below), whose sum is σ = 831267360. Its totient is φ = 137287680.

The previous prime is 356226037. The next prime is 356226043. The reversal of 356226040 is 40622653.

It is a happy number.

356226040 is digitally balanced in base 3, 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 (356226037) and next prime (356226043).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (356226043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134812 + ... + 137428.

Almost surely, 2356226040 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 356226040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415633680).

356226040 is an abundant number, since it is smaller than the sum of its proper divisors (475041320).

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

356226040 is a wasteful number, since it uses less digits than its factorization.

356226040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2752 (or 2748 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 356226040 is about 18873.9513615989. The cubic root of 356226040 is about 708.8840765273.

Adding to 356226040 its reverse (40622653), we get a palindrome (396848693).

The spelling of 356226040 in words is "three hundred fifty-six million, two hundred twenty-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 83 164 166 205 328 332 410 415 664 820 830 1640 1660 2617 3320 3403 5234 6806 10468 13085 13612 17015 20936 26170 27224 34030 52340 68060 104680 107297 136120 214594 217211 429188 434422 536485 858376 868844 1072970 1086055 1737688 2145940 2172110 4291880 4344220 8688440 8905651 17811302 35622604 44528255 71245208 89056510 178113020 356226040