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314233400 = 235213196361
BaseRepresentation
bin10010101110101…
…101001000111000
3210220021201012002
4102232231020320
51120420432100
651103040132
710533640235
oct2256551070
9726251162
10314233400
11151416228
12892a0048
1350142530
142da3a78c
151c8c12d5
hex12bad238

314233400 has 96 divisors (see below), whose sum is σ = 828332400. Its totient is φ = 109900800.

The previous prime is 314233397. The next prime is 314233411. The reversal of 314233400 is 4332413.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46220 + ... + 52580.

Almost surely, 2314233400 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 314233400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414166200).

314233400 is an abundant number, since it is smaller than the sum of its proper divisors (514099000).

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

314233400 is a wasteful number, since it uses less digits than its factorization.

314233400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6409 (or 6400 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 314233400 is about 17726.6296853068. The cubic root of 314233400 is about 679.8568037575.

Adding to 314233400 its reverse (4332413), we get a palindrome (318565813).

The spelling of 314233400 in words is "three hundred fourteen million, two hundred thirty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 19 20 25 26 38 40 50 52 65 76 95 100 104 130 152 190 200 247 260 325 380 475 494 520 650 760 950 988 1235 1300 1900 1976 2470 2600 3800 4940 6175 6361 9880 12350 12722 24700 25444 31805 49400 50888 63610 82693 120859 127220 159025 165386 241718 254440 318050 330772 413465 483436 604295 636100 661544 826930 966872 1208590 1272200 1571167 1653860 2067325 2417180 3021475 3142334 3307720 4134650 4834360 6042950 6284668 7855835 8269300 12085900 12569336 15711670 16538600 24171800 31423340 39279175 62846680 78558350 157116700 314233400