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354480 = 24357211
BaseRepresentation
bin1010110100010110000
3200000020220
41112202300
542320410
611333040
73004320
oct1264260
9600226
10354480
11222365
12151180
13c5469
1493280
1570070
hex568b0

354480 has 80 divisors (see below), whose sum is σ = 1261824. Its totient is φ = 80640.

The previous prime is 354479. The next prime is 354533. The reversal of 354480 is 84453.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 354480.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 354480.

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, 1575 + ... + 1785.

2354480 is an apocalyptic number.

354480 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 354480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630912).

354480 is an abundant number, since it is smaller than the sum of its proper divisors (907344).

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

354480 is a wasteful number, since it uses less digits than its factorization.

354480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 354480 is about 595.3822301682. The cubic root of 354480 is about 70.7723981908.

The spelling of 354480 in words is "three hundred fifty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 211 240 280 336 420 422 560 633 840 844 1055 1266 1477 1680 1688 2110 2532 2954 3165 3376 4220 4431 5064 5908 6330 7385 8440 8862 10128 11816 12660 14770 16880 17724 22155 23632 25320 29540 35448 44310 50640 59080 70896 88620 118160 177240 354480