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3429526440 = 233557749531
BaseRepresentation
bin1100110001101010…
…0110101110101000
322212000020222211210
43030122212232220
524010424321230
61324150353120
7150662331234
oct31432465650
98760228753
103429526440
1114aa972a7a
127b865b7a0
134286933b2
142476955c4
1515113aeb0
hexcc6a6ba8

3429526440 has 64 divisors (see below), whose sum is σ = 10306618560. Its totient is φ = 912936960.

The previous prime is 3429526403. The next prime is 3429526483. The reversal of 3429526440 is 446259243.

3429526440 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, 44475 + ... + 94005.

It is an arithmetic number, because the mean of its divisors is an integer number (161040915).

Almost surely, 23429526440 is an apocalyptic number.

3429526440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3429526440 is an abundant number, since it is smaller than the sum of its proper divisors (6877092120).

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

3429526440 is a wasteful number, since it uses less digits than its factorization.

3429526440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50122 (or 50118 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The square root of 3429526440 is about 58562.1587716846. The cubic root of 3429526440 is about 1508.0348747877.

The spelling of 3429526440 in words is "three billion, four hundred twenty-nine million, five hundred twenty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 577 1154 1731 2308 2885 3462 4616 5770 6924 8655 11540 13848 17310 23080 34620 49531 69240 99062 148593 198124 247655 297186 396248 495310 594372 742965 990620 1188744 1485930 1981240 2971860 5943720 28579387 57158774 85738161 114317548 142896935 171476322 228635096 285793870 342952644 428690805 571587740 685905288 857381610 1143175480 1714763220 3429526440