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400356 = 223311337
BaseRepresentation
bin1100001101111100100
3202100012000
41201233210
5100302411
612325300
73255135
oct1415744
9670160
10400356
11253880
12173830
131102c8
14a5c8c
157d956
hex61be4

400356 has 48 divisors (see below), whose sum is σ = 1135680. Its totient is φ = 120960.

The previous prime is 400339. The next prime is 400381. The reversal of 400356 is 653004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1020 + ... + 1356.

It is an arithmetic number, because the mean of its divisors is an integer number (23660).

2400356 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 400356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567840).

400356 is an abundant number, since it is smaller than the sum of its proper divisors (735324).

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

400356 is a wasteful number, since it uses less digits than its factorization.

400356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 400356 is about 632.7369121523. The cubic root of 400356 is about 73.7024820782.

The spelling of 400356 in words is "four hundred thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 337 396 594 674 1011 1188 1348 2022 3033 3707 4044 6066 7414 9099 11121 12132 14828 18198 22242 33363 36396 44484 66726 100089 133452 200178 400356