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313100240 = 24519297103
BaseRepresentation
bin10010101010011…
…000011111010000
3210211011010210012
4102222120133100
51120123201430
651022454052
710521210455
oct2252303720
9724133705
10313100240
11150811932
1288a34328
134cb3681b
142d82382c
151c74a695
hex12a987d0

313100240 has 80 divisors (see below), whose sum is σ = 792806400. Its totient is φ = 114541056.

The previous prime is 313100213. The next prime is 313100267. The reversal of 313100240 is 42001313.

It is an interprime number because it is at equal distance from previous prime (313100213) and next prime (313100267).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40529 + ... + 47631.

It is an arithmetic number, because the mean of its divisors is an integer number (9910080).

Almost surely, 2313100240 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 313100240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396403200).

313100240 is an abundant number, since it is smaller than the sum of its proper divisors (479706160).

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

313100240 is a wasteful number, since it uses less digits than its factorization.

313100240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7164 (or 7158 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 313100240 is about 17694.6387360692. The cubic root of 313100240 is about 679.0386068078.

Adding to 313100240 its reverse (42001313), we get a palindrome (355101553).

The spelling of 313100240 in words is "three hundred thirteen million, one hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 29 38 40 58 76 80 95 116 145 152 190 232 290 304 380 464 551 580 760 1102 1160 1520 2204 2320 2755 4408 5510 7103 8816 11020 14206 22040 28412 35515 44080 56824 71030 113648 134957 142060 205987 269914 284120 411974 539828 568240 674785 823948 1029935 1079656 1349570 1647896 2059870 2159312 2699140 3295792 3913753 4119740 5398280 7827506 8239480 10796560 15655012 16478960 19568765 31310024 39137530 62620048 78275060 156550120 313100240