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3400130240 = 265136113399
BaseRepresentation
bin1100101010101001…
…1101111011000000
322202221221111211122
43022222131323000
523430413131430
61321220331412
7150154426103
oct31252357300
98687844748
103400130240
1114953151a1
127aa843b68
134225701b0
1424380273a
1514d780ee5
hexcaa9dec0

3400130240 has 112 divisors (see below), whose sum is σ = 8862974400. Its totient is φ = 1234759680.

The previous prime is 3400130221. The next prime is 3400130263. The reversal of 3400130240 is 420310043.

3400130240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 247061 + ... + 260459.

It is an arithmetic number, because the mean of its divisors is an integer number (79133700).

Almost surely, 23400130240 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 3400130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4431487200).

3400130240 is an abundant number, since it is smaller than the sum of its proper divisors (5462844160).

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

3400130240 is a wasteful number, since it uses less digits than its factorization.

3400130240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13490 (or 13480 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 3400130240 is about 58310.6357365447. The cubic root of 3400130240 is about 1503.7137960759.

Adding to 3400130240 its reverse (420310043), we get a palindrome (3820440283).

The spelling of 3400130240 in words is "three billion, four hundred million, one hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 61 64 65 80 104 122 130 160 208 244 260 305 320 416 488 520 610 793 832 976 1040 1220 1586 1952 2080 2440 3172 3904 3965 4160 4880 6344 7930 9760 12688 13399 15860 19520 25376 26798 31720 50752 53596 63440 66995 107192 126880 133990 174187 214384 253760 267980 348374 428768 535960 696748 817339 857536 870935 1071920 1393496 1634678 1741870 2143840 2786992 3269356 3483740 4086695 4287680 5573984 6538712 6967480 8173390 10625407 11147968 13077424 13934960 16346780 21250814 26154848 27869920 32693560 42501628 52309696 53127035 55739840 65387120 85003256 106254070 130774240 170006512 212508140 261548480 340013024 425016280 680026048 850032560 1700065120 3400130240