Search a number
-
+
668676384 = 25341072411
BaseRepresentation
bin100111110110110…
…011000100100000
31201121020021120000
4213312303010200
52332140121014
6150204020000
722366440555
oct4766630440
91647207500
10668676384
113134a5512
12167b31600
13a86c2acc
1464b42a2c
153da86509
hex27db3120

668676384 has 120 divisors (see below), whose sum is σ = 1985761008. Its totient is φ = 220717440.

The previous prime is 668676377. The next prime is 668676409. The reversal of 668676384 is 483676866.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 668676384.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 276139 + ... + 278549.

Almost surely, 2668676384 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 668676384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992880504).

668676384 is an abundant number, since it is smaller than the sum of its proper divisors (1317084624).

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

668676384 is a wasteful number, since it uses less digits than its factorization.

668676384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2540 (or 2523 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 668676384 is about 25858.7776973313. Note that the first 3 decimals coincide. The cubic root of 668676384 is about 874.4574090217.

The spelling of 668676384 in words is "six hundred sixty-eight million, six hundred seventy-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 107 108 144 162 214 216 288 321 324 428 432 642 648 856 864 963 1284 1296 1712 1926 2411 2568 2592 2889 3424 3852 4822 5136 5778 7233 7704 8667 9644 10272 11556 14466 15408 17334 19288 21699 23112 28932 30816 34668 38576 43398 46224 57864 65097 69336 77152 86796 92448 115728 130194 138672 173592 195291 231456 257977 260388 277344 347184 390582 515954 520776 694368 773931 781164 1031908 1041552 1547862 1562328 2063816 2083104 2321793 3095724 3124656 4127632 4643586 6191448 6249312 6965379 8255264 9287172 12382896 13930758 18574344 20896137 24765792 27861516 37148688 41792274 55723032 74297376 83584548 111446064 167169096 222892128 334338192 668676384