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313148040 = 23359772671
BaseRepresentation
bin10010101010100…
…100001010001000
3210211020120100120
4102222210022020
51120131214130
651023503240
710521500022
oct2252441210
9724216316
10313148040
11150844837
1288a57b20
134cb524ca
142d837012
151c759910
hex12aa4288

313148040 has 64 divisors (see below), whose sum is σ = 940757760. Its totient is φ = 83389440.

The previous prime is 313148023. The next prime is 313148053. The reversal of 313148040 is 40841313.

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 313148040.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115905 + ... + 118575.

It is an arithmetic number, because the mean of its divisors is an integer number (14699340).

Almost surely, 2313148040 is an apocalyptic number.

313148040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313148040 is an abundant number, since it is smaller than the sum of its proper divisors (627609720).

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

313148040 is a wasteful number, since it uses less digits than its factorization.

313148040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3662 (or 3658 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 313148040 is about 17695.9893761270. The cubic root of 313148040 is about 679.0731605914.

Adding to 313148040 its reverse (40841313), we get a palindrome (353989353).

The spelling of 313148040 in words is "three hundred thirteen million, one hundred forty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 977 1954 2671 2931 3908 4885 5342 5862 7816 8013 9770 10684 11724 13355 14655 16026 19540 21368 23448 26710 29310 32052 39080 40065 53420 58620 64104 80130 106840 117240 160260 320520 2609567 5219134 7828701 10438268 13047835 15657402 20876536 26095670 31314804 39143505 52191340 62629608 78287010 104382680 156574020 313148040