Search a number
-
+
3400400124 = 2232118586869
BaseRepresentation
bin1100101010101101…
…1111110011111100
322202222110020001100
43022223133303330
523431000300444
61321230213100
7150156631662
oct31253376374
98688406040
103400400124
111495489a40
127aa954190
13422635ca4
14243872c32
1514d7d5e69
hexcaadfcfc

3400400124 has 36 divisors (see below), whose sum is σ = 9376862040. Its totient is φ = 1030424160.

The previous prime is 3400400099. The next prime is 3400400131. The reversal of 3400400124 is 4210040043.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3400400097 and 3400400106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4293039 + ... + 4293830.

It is an arithmetic number, because the mean of its divisors is an integer number (260468390).

Almost surely, 23400400124 is an apocalyptic number.

It is an amenable number.

3400400124 is an abundant number, since it is smaller than the sum of its proper divisors (5976461916).

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

3400400124 is a wasteful number, since it uses less digits than its factorization.

3400400124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8586890 (or 8586885 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 3400400124 is about 58312.9498825089. The cubic root of 3400400124 is about 1503.7535805870.

Adding to 3400400124 its reverse (4210040043), we get a palindrome (7610440167).

The spelling of 3400400124 in words is "three billion, four hundred million, four hundred thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 8586869 17173738 25760607 34347476 51521214 77281821 94455559 103042428 154563642 188911118 283366677 309127284 377822236 566733354 850100031 1133466708 1700200062 3400400124