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313140240 = 24325762131
BaseRepresentation
bin10010101010100…
…010010000010000
3210211020011122200
4102222202100100
51120130441430
651023403200
710521435210
oct2252422020
9724204580
10313140240
11150839996
1288a53500
134cb4baaa
142d834240
151c757460
hex12aa2410

313140240 has 120 divisors (see below), whose sum is σ = 1201881408. Its totient is φ = 71573760.

The previous prime is 313140227. The next prime is 313140251. The reversal of 313140240 is 42041313.

313140240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26026 + ... + 36105.

Almost surely, 2313140240 is an apocalyptic number.

313140240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313140240 is an abundant number, since it is smaller than the sum of its proper divisors (888741168).

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

313140240 is a wasteful number, since it uses less digits than its factorization.

313140240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62157 (or 62148 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 313140240 is about 17695.7689858339. The cubic root of 313140240 is about 679.0675223480.

Adding to 313140240 its reverse (42041313), we get a palindrome (355181553).

The spelling of 313140240 in words is "three hundred thirteen million, one hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 62131 124262 186393 248524 310655 372786 434917 497048 559179 621310 745572 869834 931965 994096 1118358 1242620 1304751 1491144 1739668 1863930 2174585 2236716 2485240 2609502 2795895 2982288 3479336 3727860 3914253 4349170 4473432 4970480 5219004 5591790 6523755 6958672 7455720 7828506 8698340 8946864 10438008 11183580 13047510 14911440 15657012 17396680 19571265 20876016 22367160 26095020 31314024 34793360 39142530 44734320 52190040 62628048 78285060 104380080 156570120 313140240