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2313030240 = 253255330307
BaseRepresentation
bin1000100111011110…
…0000101001100000
312222012101002222200
42021313200221200
514214113431430
61021304133200
7111214301253
oct21167405140
95865332880
102313030240
11a87710944
12546767200
132ab288061
1417d2a109a
15d80e7460
hex89de0a60

2313030240 has 144 divisors (see below), whose sum is σ = 8042409648. Its totient is φ = 605150208.

The previous prime is 2313030233. The next prime is 2313030263. The reversal of 2313030240 is 420303132.

It is a tau number, because it is divible by the number of its divisors (144).

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

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 23 ways as a sum of consecutive naturals, for example, 61167 + ... + 91473.

It is an arithmetic number, because the mean of its divisors is an integer number (55850067).

Almost surely, 22313030240 is an apocalyptic number.

2313030240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2313030240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4021204824).

2313030240 is an abundant number, since it is smaller than the sum of its proper divisors (5729379408).

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

2313030240 is a wasteful number, since it uses less digits than its factorization.

2313030240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30381 (or 30370 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2313030240 is about 48093.9730111789. The cubic root of 2313030240 is about 1322.4941822660.

Adding to 2313030240 its reverse (420303132), we get a palindrome (2733333372).

The spelling of 2313030240 in words is "two billion, three hundred thirteen million, thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 53 60 72 80 90 96 106 120 144 159 160 180 212 240 265 288 318 360 424 477 480 530 636 720 795 848 954 1060 1272 1440 1590 1696 1908 2120 2385 2544 3180 3816 4240 4770 5088 6360 7632 8480 9540 12720 15264 19080 25440 30307 38160 60614 76320 90921 121228 151535 181842 242456 272763 303070 363684 454605 484912 545526 606140 727368 909210 969824 1091052 1212280 1363815 1454736 1606271 1818420 2182104 2424560 2727630 2909472 3212542 3636840 4364208 4818813 4849120 5455260 6425084 7273680 8031355 8728416 9637626 10910520 12850168 14456439 14547360 16062710 19275252 21821040 24094065 25700336 28912878 32125420 38550504 43642080 48188130 51400672 57825756 64250840 72282195 77101008 96376260 115651512 128501680 144564390 154202016 192752520 231303024 257003360 289128780 385505040 462606048 578257560 771010080 1156515120 2313030240