Search a number
-
+
356440 = 23571967
BaseRepresentation
bin1010111000001011000
3200002221111
41113001120
542401230
611350104
73013120
oct1270130
9602844
10356440
11223887
12152334
13c6316
1493c80
157092a
hex57058

356440 has 64 divisors (see below), whose sum is σ = 979200. Its totient is φ = 114048.

The previous prime is 356399. The next prime is 356441. The reversal of 356440 is 44653.

356440 = T113 + T114 + ... + T152.

356440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 356440.

It is not an unprimeable number, because it can be changed into a prime (356441) 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, 5287 + ... + 5353.

It is an arithmetic number, because the mean of its divisors is an integer number (15300).

2356440 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 356440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489600).

356440 is an abundant number, since it is smaller than the sum of its proper divisors (622760).

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

356440 is a wasteful number, since it uses less digits than its factorization.

356440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 356440 is about 597.0259625845. The cubic root of 356440 is about 70.9025973772.

The spelling of 356440 in words is "three hundred fifty-six thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 67 70 76 95 133 134 140 152 190 266 268 280 335 380 469 532 536 665 670 760 938 1064 1273 1330 1340 1876 2345 2546 2660 2680 3752 4690 5092 5320 6365 8911 9380 10184 12730 17822 18760 25460 35644 44555 50920 71288 89110 178220 356440