Search a number
-
+
3400642431 = 321632318093
BaseRepresentation
bin1100101010110001…
…1010111101111111
322202222220112102200
43022230122331333
523431031024211
61321235322543
7150161661264
oct31254327577
98688815380
103400642431
111495634a9a
127aaa50453
134226bc374
142438d726b
1514d832b56
hexcab1af7f

3400642431 has 12 divisors (see below), whose sum is σ = 4942176408. Its totient is φ = 2253185424.

The previous prime is 3400642429. The next prime is 3400642463. The reversal of 3400642431 is 1342460043.

It is not a de Polignac number, because 3400642431 - 21 = 3400642429 is a prime.

It is a super-2 number, since 2×34006424312 = 23128737887035179522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3400642395 and 3400642404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400642471) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1157580 + ... + 1160513.

It is an arithmetic number, because the mean of its divisors is an integer number (411848034).

Almost surely, 23400642431 is an apocalyptic number.

3400642431 is a deficient number, since it is larger than the sum of its proper divisors (1541533977).

3400642431 is a wasteful number, since it uses less digits than its factorization.

3400642431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2318262 (or 2318259 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3400642431 is about 58315.0274886328. The cubic root of 3400642431 is about 1503.7892980860.

The spelling of 3400642431 in words is "three billion, four hundred million, six hundred forty-two thousand, four hundred thirty-one".

Divisors: 1 3 9 163 489 1467 2318093 6954279 20862837 377849159 1133547477 3400642431