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3400444124 = 22711391243
BaseRepresentation
bin1100101010101110…
…1010100011011100
322202222112110101222
43022223222203130
523431003202444
61321231152512
7150160204160
oct31253524334
98688473358
103400444124
11149550a000
127aa975738
1342265001c
14243884ca0
1514d7e3eee
hexcaaea8dc

3400444124 has 48 divisors (see below), whose sum is σ = 7480548096. Its totient is φ = 1324833840.

The previous prime is 3400444123. The next prime is 3400444133. The reversal of 3400444124 is 4214440043.

It is a happy number.

It is a super-2 number, since 2×34004441242 = 23126040480892254752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3400444093 and 3400444102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400444123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8354 + ... + 82889.

It is an arithmetic number, because the mean of its divisors is an integer number (155844752).

Almost surely, 23400444124 is an apocalyptic number.

It is an amenable number.

3400444124 is an abundant number, since it is smaller than the sum of its proper divisors (4080103972).

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

3400444124 is a wasteful number, since it uses less digits than its factorization.

3400444124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91287 (or 91263 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 3400444124 is about 58313.3271559770. The cubic root of 3400444124 is about 1503.7600665758.

Adding to 3400444124 its reverse (4214440043), we get a palindrome (7614884167).

The spelling of 3400444124 in words is "three billion, four hundred million, four hundred forty-four thousand, one hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 121 154 242 308 484 847 1331 1694 2662 3388 5324 9317 18634 37268 91243 182486 364972 638701 1003673 1277402 2007346 2554804 4014692 7025711 11040403 14051422 22080806 28102844 44161612 77282821 121444433 154565642 242888866 309131284 485777732 850111031 1700222062 3400444124