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314174664 = 233223193983
BaseRepresentation
bin10010101110011…
…110110011001000
3210220011201121200
4102232132303020
51120412042124
651101504200
710533304056
oct2256366310
9726151550
10314174664
11151386091
1289272060
135012188b
142da231d6
151c8adbc9
hex12b9ecc8

314174664 has 96 divisors (see below), whose sum is σ = 893393280. Its totient is φ = 99551232.

The previous prime is 314174657. The next prime is 314174701. The reversal of 314174664 is 466471413.

314174664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 319117 + ... + 320099.

It is an arithmetic number, because the mean of its divisors is an integer number (9306180).

Almost surely, 2314174664 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 314174664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446696640).

314174664 is an abundant number, since it is smaller than the sum of its proper divisors (579218616).

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

314174664 is a wasteful number, since it uses less digits than its factorization.

314174664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1204 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 314174664 is about 17724.9728913756. The cubic root of 314174664 is about 679.8144418725.

The spelling of 314174664 in words is "three hundred fourteen million, one hundred seventy-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 193 207 276 386 414 552 579 772 828 983 1158 1544 1656 1737 1966 2316 2949 3474 3932 4439 4632 5898 6948 7864 8847 8878 11796 13317 13896 17694 17756 22609 23592 26634 35388 35512 39951 45218 53268 67827 70776 79902 90436 106536 135654 159804 180872 189719 203481 271308 319608 379438 406962 542616 569157 758876 813924 1138314 1517752 1627848 1707471 2276628 3414942 4363537 4553256 6829884 8727074 13090611 13659768 17454148 26181222 34908296 39271833 52362444 78543666 104724888 157087332 314174664