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356940 = 22335661
BaseRepresentation
bin1010111001001001100
3200010122000
41113021030
542410230
611352300
73014433
oct1271114
9603560
10356940
112241a1
12152690
13c660c
149411a
1570b60
hex5724c

356940 has 48 divisors (see below), whose sum is σ = 1112160. Its totient is φ = 95040.

The previous prime is 356933. The next prime is 356947. The reversal of 356940 is 49653.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (356933) and next prime (356947).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (356947) 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, 210 + ... + 870.

It is an arithmetic number, because the mean of its divisors is an integer number (23170).

2356940 is an apocalyptic number.

356940 is a gapful number since it is divisible by the number (30) 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 356940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556080).

356940 is an abundant number, since it is smaller than the sum of its proper divisors (755220).

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

356940 is a wasteful number, since it uses less digits than its factorization.

356940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 356940 is about 597.4445580972. Note that the first 3 decimals coincide. The cubic root of 356940 is about 70.9357350114.

It can be divided in two parts, 356 and 940, that added together give a 4-th power (1296 = 64).

The spelling of 356940 in words is "three hundred fifty-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 661 1322 1983 2644 3305 3966 5949 6610 7932 9915 11898 13220 17847 19830 23796 29745 35694 39660 59490 71388 89235 118980 178470 356940