Search a number
-
+
314278902 = 232710723311
BaseRepresentation
bin10010101110111…
…000001111110110
3210220101000121100
4102232320033312
51120423411102
651104030530
710534220010
oct2256701766
9726330540
10314278902
11151447433
1289302446
135015a162
142da4d1b0
151c8cea1c
hex12bb83f6

314278902 has 48 divisors (see below), whose sum is σ = 785521152. Its totient is φ = 88950960.

The previous prime is 314278901. The next prime is 314278903. The reversal of 314278902 is 209872413.

It is an interprime number because it is at equal distance from previous prime (314278901) and next prime (314278903).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314278901) 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 23 ways as a sum of consecutive naturals, for example, 1827 + ... + 25137.

It is an arithmetic number, because the mean of its divisors is an integer number (16365024).

Almost surely, 2314278902 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314278902, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392760576).

314278902 is an abundant number, since it is smaller than the sum of its proper divisors (471242250).

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

314278902 is a wasteful number, since it uses less digits than its factorization.

314278902 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23433 (or 23430 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 314278902 is about 17727.9130751479. The cubic root of 314278902 is about 679.8896173193.

The spelling of 314278902 in words is "three hundred fourteen million, two hundred seventy-eight thousand, nine hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 107 126 214 321 642 749 963 1498 1926 2247 4494 6741 13482 23311 46622 69933 139866 163177 209799 326354 419598 489531 979062 1468593 2494277 2937186 4988554 7482831 14965662 17459939 22448493 34919878 44896986 52379817 104759634 157139451 314278902