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4239309340 = 2257971312383
BaseRepresentation
bin1111110010101110…
…1011101000011100
3101221110000020011001
43330223223220130
532140230344330
61540355040044
7210024351310
oct37453535034
911843006131
104239309340
111885a85942
129a38a0024
13527390086
142c3049b40
1519c2969ca
hexfcaeba1c

4239309340 has 96 divisors (see below), whose sum is σ = 10362046464. Its totient is φ = 1426913280.

The previous prime is 4239309323. The next prime is 4239309341. The reversal of 4239309340 is 439039324.

It is a super-2 number, since 2×42393093402 = 35943487360422471200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4239309340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4239309341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1777789 + ... + 1780171.

It is an arithmetic number, because the mean of its divisors is an integer number (107937984).

Almost surely, 24239309340 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 4239309340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5181023232).

4239309340 is an abundant number, since it is smaller than the sum of its proper divisors (6122737124).

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

4239309340 is a wasteful number, since it uses less digits than its factorization.

4239309340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2627 (or 2625 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 37.

The square root of 4239309340 is about 65109.9788050956. The cubic root of 4239309340 is about 1618.4465803003.

The spelling of 4239309340 in words is "four billion, two hundred thirty-nine million, three hundred nine thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 97 131 140 194 262 388 485 524 655 679 917 970 1310 1358 1834 1940 2383 2620 2716 3395 3668 4585 4766 6790 9170 9532 11915 12707 13580 16681 18340 23830 25414 33362 47660 50828 63535 66724 83405 88949 127070 166810 177898 231151 254140 312173 333620 355796 444745 462302 624346 889490 924604 1155755 1248692 1560865 1618057 1778980 2185211 2311510 3121730 3236114 4370422 4623020 6243460 6472228 8090285 8740844 10926055 16180570 21852110 30280781 32361140 43704220 60561562 121123124 151403905 211965467 302807810 423930934 605615620 847861868 1059827335 2119654670 4239309340