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314223294 = 237112947499
BaseRepresentation
bin10010101110101…
…010101010111110
3210220021012022210
4102232222222332
51120420121134
651102521250
710533565620
oct2256525276
9726235283
10314223294
11151409680
1289296226
135013aa58
142da36c10
151c8bd2e9
hex12baaabe

314223294 has 128 divisors (see below), whose sum is σ = 829440000. Its totient is φ = 76970880.

The previous prime is 314223293. The next prime is 314223313. The reversal of 314223294 is 492322413.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314223293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 629457 + ... + 629955.

It is an arithmetic number, because the mean of its divisors is an integer number (6480000).

Almost surely, 2314223294 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314223294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414720000).

314223294 is an abundant number, since it is smaller than the sum of its proper divisors (515216706).

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

314223294 is a wasteful number, since it uses less digits than its factorization.

314223294 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598.

The product of its digits is 10368, while the sum is 30.

The square root of 314223294 is about 17726.3446316492. The cubic root of 314223294 is about 679.8495154314.

It can be divided in two parts, 31422 and 3294, that added together give a triangular number (34716 = T263).

The spelling of 314223294 in words is "three hundred fourteen million, two hundred twenty-three thousand, two hundred ninety-four".

Divisors: 1 2 3 6 7 11 14 21 22 29 33 42 47 58 66 77 87 94 141 154 174 203 231 282 319 329 406 462 499 517 609 638 658 957 987 998 1034 1218 1363 1497 1551 1914 1974 2233 2726 2994 3102 3493 3619 4089 4466 5489 6699 6986 7238 8178 9541 10479 10857 10978 13398 14471 14993 16467 19082 20958 21714 23453 28623 28942 29986 32934 38423 43413 44979 46906 57246 70359 76846 86826 89958 101297 104951 115269 140718 159181 164171 202594 209902 230538 257983 303891 314853 318362 328342 477543 492513 515966 607782 629706 680137 773949 955086 985026 1114267 1360274 1547898 1805881 2040411 2228534 3342801 3611762 4080822 4760959 5417643 6685602 7481507 9521918 10835286 14282877 14963014 22444521 28565754 44889042 52370549 104741098 157111647 314223294