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314365104 = 243323291091
BaseRepresentation
bin10010101111001…
…101010010110000
3210220112101212000
4102233031102300
51120434140404
651105534000
710535026224
oct2257152260
9726471760
10314365104
111514a6179
1289344300
135018a471
142da72784
151c8ea339
hex12bcd4b0

314365104 has 160 divisors (see below), whose sum is σ = 974937600. Its totient is φ = 96687360.

The previous prime is 314365099. The next prime is 314365109. The reversal of 314365104 is 401563413.

314365104 is a `hidden beast` number, since 3 + 1 + 4 + 3 + 651 + 0 + 4 = 666.

314365104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (314365099) and next prime (314365109).

It is a super-2 number, since 2×3143651042 = 197650837225861632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (314365109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 287599 + ... + 288689.

It is an arithmetic number, because the mean of its divisors is an integer number (6093360).

Almost surely, 2314365104 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 314365104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487468800).

314365104 is an abundant number, since it is smaller than the sum of its proper divisors (660572496).

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

314365104 is a wasteful number, since it uses less digits than its factorization.

314365104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 314365104 is about 17730.3441590963. The cubic root of 314365104 is about 679.9517728196.

The spelling of 314365104 in words is "three hundred fourteen million, three hundred sixty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 29 36 46 48 54 58 69 72 87 92 108 116 138 144 174 184 207 216 232 261 276 348 368 414 432 464 522 552 621 667 696 783 828 1044 1091 1104 1242 1334 1392 1566 1656 2001 2088 2182 2484 2668 3132 3273 3312 4002 4176 4364 4968 5336 6003 6264 6546 8004 8728 9819 9936 10672 12006 12528 13092 16008 17456 18009 19638 24012 25093 26184 29457 31639 32016 36018 39276 48024 50186 52368 58914 63278 72036 75279 78552 94917 96048 100372 117828 126556 144072 150558 157104 189834 200744 225837 235656 253112 284751 288144 301116 379668 401488 451674 471312 506224 569502 602232 677511 727697 759336 854253 903348 1139004 1204464 1355022 1455394 1518672 1708506 1806696 2183091 2278008 2710044 2910788 3417012 3613392 4366182 4556016 5420088 5821576 6549273 6834024 8732364 10840176 11643152 13098546 13668048 17464728 19647819 26197092 34929456 39295638 52394184 78591276 104788368 157182552 314365104