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314140452 = 2231989113137
BaseRepresentation
bin10010101110010…
…110011100100100
3210220002222200120
4102232112130210
51120404443302
651101041540
710533102243
oct2256263444
9726088616
10314140452
1115136240a
12892562b0
135010c132
142da1495a
151c8a39bc
hex12b96724

314140452 has 96 divisors (see below), whose sum is σ = 792892800. Its totient is φ = 96509952.

The previous prime is 314140373. The next prime is 314140511. The reversal of 314140452 is 254041413.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2292928 + ... + 2293064.

It is an arithmetic number, because the mean of its divisors is an integer number (8259300).

Almost surely, 2314140452 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 314140452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396446400).

314140452 is an abundant number, since it is smaller than the sum of its proper divisors (478752348).

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

314140452 is a wasteful number, since it uses less digits than its factorization.

314140452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 363 counting only the distinct ones).

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

The square root of 314140452 is about 17724.0077860511. The cubic root of 314140452 is about 679.7897648816.

Adding to 314140452 its reverse (254041413), we get a palindrome (568181865).

The spelling of 314140452 in words is "three hundred fourteen million, one hundred forty thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 89 113 114 137 178 226 228 267 274 339 356 411 452 534 548 678 822 1068 1356 1644 1691 2147 2603 3382 4294 5073 5206 6441 6764 7809 8588 10057 10146 10412 12193 12882 15481 15618 20114 20292 24386 25764 30171 30962 31236 36579 40228 46443 48772 60342 61924 73158 92886 120684 146316 185772 191083 231667 294139 382166 463334 573249 588278 695001 764332 882417 926668 1146498 1176556 1377809 1390002 1764834 2292996 2755618 2780004 3529668 4133427 5511236 8266854 16533708 26178371 52356742 78535113 104713484 157070226 314140452