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3429782040 = 233528581517
BaseRepresentation
bin1100110001101110…
…0101001000011000
322212000201222110110
43030123211020120
524011011011130
61324200044320
7150664444356
oct31433451030
98760658413
103429782040
111500028013
127b87636a0
13428752839
142477207d6
1515118bab0
hexcc6e5218

3429782040 has 32 divisors (see below), whose sum is σ = 10289346480. Its totient is φ = 914608512.

The previous prime is 3429782023. The next prime is 3429782071. The reversal of 3429782040 is 402879243.

It is a self number, because there is not a number n which added to its sum of digits gives 3429782040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14290639 + ... + 14290878.

Almost surely, 23429782040 is an apocalyptic number.

3429782040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3429782040 is an abundant number, since it is smaller than the sum of its proper divisors (6859564440).

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

3429782040 is a wasteful number, since it uses less digits than its factorization.

3429782040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28581531 (or 28581527 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 3429782040 is about 58564.3410276253. The cubic root of 3429782040 is about 1508.0723380882.

The spelling of 3429782040 in words is "three billion, four hundred twenty-nine million, seven hundred eighty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 28581517 57163034 85744551 114326068 142907585 171489102 228652136 285815170 342978204 428722755 571630340 685956408 857445510 1143260680 1714891020 3429782040