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2349960340 = 225713612347
BaseRepresentation
bin1000110000010001…
…1000110010010100
320001202212100120011
42030010120302110
514303042212330
61025103450004
7112143222220
oct21404306224
96052770504
102349960340
11aa6544a92
12556bb6904
132b5b184a0
14184155780
15db48e82a
hex8c118c94

2349960340 has 144 divisors (see below), whose sum is σ = 6192740736. Its totient is φ = 729423360.

The previous prime is 2349960331. The next prime is 2349960341. The reversal of 2349960340 is 430699432.

It is a junction number, because it is equal to n+sod(n) for n = 2349960293 and 2349960302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2349960341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6772047 + ... + 6772393.

It is an arithmetic number, because the mean of its divisors is an integer number (43005144).

Almost surely, 22349960340 is an apocalyptic number.

2349960340 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 2349960340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3096370368).

2349960340 is an abundant number, since it is smaller than the sum of its proper divisors (3842780396).

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

2349960340 is a wasteful number, since it uses less digits than its factorization.

2349960340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 40.

The square root of 2349960340 is about 48476.3895107711. The cubic root of 2349960340 is about 1329.4954160315.

The spelling of 2349960340 in words is "two billion, three hundred forty-nine million, nine hundred sixty thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 61 65 70 91 122 130 140 182 244 260 305 347 364 427 455 610 694 793 854 910 1220 1388 1586 1708 1735 1820 2135 2429 3172 3470 3721 3965 4270 4511 4858 5551 6940 7442 7930 8540 9022 9716 11102 12145 14884 15860 18044 18605 21167 22204 22555 24290 26047 27755 31577 37210 42334 45110 48373 48580 52094 55510 63154 74420 84668 90220 96746 104188 105835 111020 126308 130235 148169 157885 193492 211670 241865 260470 275171 296338 315770 338611 423340 483730 520940 550342 592676 631540 677222 740845 967460 1100684 1291187 1354444 1375855 1481690 1693055 1926197 2582374 2751710 2963380 3386110 3852394 5164748 5503420 6455935 6772220 7704788 9038309 9630985 12911870 16785431 18076618 19261970 25823740 33570862 36153236 38523940 45191545 67141724 83927155 90383090 117498017 167854310 180766180 234996034 335708620 469992068 587490085 1174980170 2349960340