Search a number
-
+
314172240 = 24351777003
BaseRepresentation
bin10010101110011…
…110001101010000
3210220011121021220
4102232132031100
51120412002430
651101445040
710533264024
oct2256361520
9726147256
10314172240
11151384288
1289270780
1350120745
142da22384
151c8ad110
hex12b9e350

314172240 has 80 divisors (see below), whose sum is σ = 1031237568. Its totient is φ = 78850048.

The previous prime is 314172169. The next prime is 314172247. The reversal of 314172240 is 42271413.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 314172240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314172247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34422 + ... + 42581.

Almost surely, 2314172240 is an apocalyptic number.

314172240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314172240 is an abundant number, since it is smaller than the sum of its proper divisors (717065328).

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

314172240 is a wasteful number, since it uses less digits than its factorization.

314172240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77036 (or 77030 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 314172240 is about 17724.9045131420. The cubic root of 314172240 is about 679.8126935091.

The spelling of 314172240 in words is "three hundred fourteen million, one hundred seventy-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 77003 154006 231009 308012 385015 462018 616024 770030 924036 1155045 1232048 1309051 1540060 1848072 2310090 2618102 3080120 3696144 3927153 4620180 5236204 6160240 6545255 7854306 9240360 10472408 13090510 15708612 18480720 19635765 20944816 26181020 31417224 39271530 52362040 62834448 78543060 104724080 157086120 314172240