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314323040 = 25510319073
BaseRepresentation
bin10010101111000…
…011000001100000
3210220110021011002
4102233003001200
51120431314130
651105011132
710534462463
oct2257030140
9726407132
10314323040
11151477609
1289323aa8
1350174285
142da612da
151c8dcb45
hex12bc3060

314323040 has 48 divisors (see below), whose sum is σ = 749837088. Its totient is φ = 124502016.

The previous prime is 314323027. The next prime is 314323069. The reversal of 314323040 is 40323413.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6944 + ... + 26016.

It is an arithmetic number, because the mean of its divisors is an integer number (15621606).

Almost surely, 2314323040 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 314323040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374918544).

314323040 is an abundant number, since it is smaller than the sum of its proper divisors (435514048).

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

314323040 is a wasteful number, since it uses less digits than its factorization.

314323040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19191 (or 19183 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 314323040 is about 17729.1579044240. The cubic root of 314323040 is about 679.9214442125.

Adding to 314323040 its reverse (40323413), we get a palindrome (354646453).

The spelling of 314323040 in words is "three hundred fourteen million, three hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 103 160 206 412 515 824 1030 1648 2060 3296 4120 8240 16480 19073 38146 76292 95365 152584 190730 305168 381460 610336 762920 1525840 1964519 3051680 3929038 7858076 9822595 15716152 19645190 31432304 39290380 62864608 78580760 157161520 314323040