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214704 = 2433771
BaseRepresentation
bin110100011010110000
3101220112000
4310122300
523332304
64334000
71552650
oct643260
9356460
10214704
11137346
12a4300
1376959
1458360
1543939
hex346b0

214704 has 80 divisors (see below), whose sum is σ = 714240. Its totient is φ = 60480.

The previous prime is 214691. The next prime is 214723. The reversal of 214704 is 407412.

It is a happy number.

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

It is a nialpdrome in base 12.

It is an unprimeable number.

214704 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2989 + ... + 3059.

It is an arithmetic number, because the mean of its divisors is an integer number (8928).

2214704 is an apocalyptic number.

214704 is a gapful number since it is divisible by the number (24) 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 214704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357120).

214704 is an abundant number, since it is smaller than the sum of its proper divisors (499536).

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

214704 is a wasteful number, since it uses less digits than its factorization.

214704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 214704 is about 463.3616298314. The cubic root of 214704 is about 59.8797591968.

It can be divided in two parts, 2 and 14704, that added together give a triangular number (14706 = T171).

The spelling of 214704 in words is "two hundred fourteen thousand, seven hundred four", and thus it is an iban number.

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 71 72 84 108 112 126 142 144 168 189 213 216 252 284 336 378 426 432 497 504 568 639 756 852 994 1008 1136 1278 1491 1512 1704 1917 1988 2556 2982 3024 3408 3834 3976 4473 5112 5964 7668 7952 8946 10224 11928 13419 15336 17892 23856 26838 30672 35784 53676 71568 107352 214704