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314031004 = 227217791193
BaseRepresentation
bin10010101101111…
…011101110011100
3210212220102112221
4102231323232130
51120342443004
651054435124
710532135200
oct2255735634
9725812487
10314031004
11151298161
1289202aa4
13500a1381
142d9c6b00
151c881354
hex12b7bb9c

314031004 has 72 divisors (see below), whose sum is σ = 686024640. Its totient is φ = 124959744.

The previous prime is 314030999. The next prime is 314031007. The reversal of 314031004 is 400130413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314031007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262632 + ... + 263824.

It is an arithmetic number, because the mean of its divisors is an integer number (9528120).

Almost surely, 2314031004 is an apocalyptic number.

314031004 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314031004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343012320).

314031004 is an abundant number, since it is smaller than the sum of its proper divisors (371993636).

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

314031004 is a wasteful number, since it uses less digits than its factorization.

314031004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 314031004 is about 17720.9199535464. The cubic root of 314031004 is about 679.7108084021.

Adding to 314031004 its reverse (400130413), we get a palindrome (714161417).

The spelling of 314031004 in words is "three hundred fourteen million, thirty-one thousand, four".

Divisors: 1 2 4 7 14 17 28 34 49 68 79 98 119 158 196 238 316 476 553 833 1106 1193 1343 1666 2212 2386 2686 3332 3871 4772 5372 7742 8351 9401 15484 16702 18802 20281 33404 37604 40562 58457 65807 81124 94247 116914 131614 141967 188494 233828 263228 283934 376988 567868 659729 993769 1319458 1602199 1987538 2638916 3204398 3975076 4618103 6408796 9236206 11215393 18472412 22430786 44861572 78507751 157015502 314031004