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354456 = 2334547
BaseRepresentation
bin1010110100010011000
3200000020000
41112202120
542320311
611333000
73004254
oct1264230
9600200
10354456
11222343
12151160
13c544b
1493264
1570056
hex56898

354456 has 40 divisors (see below), whose sum is σ = 994620. Its totient is φ = 117936.

The previous prime is 354451. The next prime is 354461. The reversal of 354456 is 654453.

It is an interprime number because it is at equal distance from previous prime (354451) and next prime (354461).

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

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354451) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 375 + ... + 921.

2354456 is an apocalyptic number.

354456 is a gapful number since it is divisible by the number (36) 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 354456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497310).

354456 is an abundant number, since it is smaller than the sum of its proper divisors (640164).

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

354456 is a wasteful number, since it uses less digits than its factorization.

354456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 552 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 354456 is about 595.3620747075. The cubic root of 354456 is about 70.7708009443.

It can be divided in two parts, 3544 and 56, that added together give a square (3600 = 602).

The spelling of 354456 in words is "three hundred fifty-four thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 547 648 1094 1641 2188 3282 4376 4923 6564 9846 13128 14769 19692 29538 39384 44307 59076 88614 118152 177228 354456