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234714656 = 25113831741
BaseRepresentation
bin11011111110101…
…11011000100000
3121100122201222102
431333113120200
5440041332111
635142425532
75550020201
oct1577273040
9540581872
10234714656
11110543660
12667322a8
1339820217
142325b5a8
151591513b
hexdfd7620

234714656 has 48 divisors (see below), whose sum is σ = 505709568. Its totient is φ = 106348800.

The previous prime is 234714629. The next prime is 234714677. The reversal of 234714656 is 656417432.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133946 + ... + 135686.

It is an arithmetic number, because the mean of its divisors is an integer number (10535616).

Almost surely, 2234714656 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 234714656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252854784).

234714656 is an abundant number, since it is smaller than the sum of its proper divisors (270994912).

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

234714656 is a wasteful number, since it uses less digits than its factorization.

234714656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2145 (or 2137 counting only the distinct ones).

The product of its digits is 120960, while the sum is 38.

The square root of 234714656 is about 15320.3999947782. The cubic root of 234714656 is about 616.8507108161.

The spelling of 234714656 in words is "two hundred thirty-four million, seven hundred fourteen thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 383 766 1532 1741 3064 3482 4213 6128 6964 8426 12256 13928 16852 19151 27856 33704 38302 55712 67408 76604 134816 153208 306416 612832 666803 1333606 2667212 5334424 7334833 10668848 14669666 21337696 29339332 58678664 117357328 234714656