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3400431330 = 235195965669
BaseRepresentation
bin1100101010101110…
…0111011011100010
322202222111210212010
43022223213123202
523431002300310
61321231013350
7150160121652
oct31253473342
98688453763
103400431330
11149550042a
127aa96a256
1342264725a
14243880362
1514d7e0320
hexcaae76e2

3400431330 has 32 divisors (see below), whose sum is σ = 8590564800. Its totient is φ = 859056192.

The previous prime is 3400431301. The next prime is 3400431347. The reversal of 3400431330 is 331340043.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3400431297 and 3400431306.

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, 2982265 + ... + 2983404.

It is an arithmetic number, because the mean of its divisors is an integer number (268455150).

Almost surely, 23400431330 is an apocalyptic number.

3400431330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3400431330 is an abundant number, since it is smaller than the sum of its proper divisors (5190133470).

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

3400431330 is a wasteful number, since it uses less digits than its factorization.

3400431330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5965698.

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 3400431330 is about 58313.2174553934. The cubic root of 3400431330 is about 1503.7581806329.

Adding to 3400431330 its reverse (331340043), we get a palindrome (3731771373).

The spelling of 3400431330 in words is "three billion, four hundred million, four hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 570 5965669 11931338 17897007 29828345 35794014 59656690 89485035 113347711 178970070 226695422 340043133 566738555 680086266 1133477110 1700215665 3400431330