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3440400414 = 2311192743541
BaseRepresentation
bin1100110100010000…
…0101100000011110
322212202201110010120
43031010011200132
524021220303124
61325215415410
7151153630623
oct31504054036
98782643116
103440400414
11150601a830
12800224566
1342a9cc9b9
14248cc634a
15152087d79
hexcd10581e

3440400414 has 32 divisors (see below), whose sum is σ = 7901400960. Its totient is φ = 987674400.

The previous prime is 3440400401. The next prime is 3440400461. The reversal of 3440400414 is 4140040443.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1370517 + ... + 1373024.

It is an arithmetic number, because the mean of its divisors is an integer number (246918780).

Almost surely, 23440400414 is an apocalyptic number.

3440400414 is an abundant number, since it is smaller than the sum of its proper divisors (4461000546).

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

3440400414 is a wasteful number, since it uses less digits than its factorization.

3440400414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2743576.

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 3440400414 is about 58654.9265961522. The cubic root of 3440400414 is about 1509.6270315489.

Adding to 3440400414 its reverse (4140040443), we get a palindrome (7580440857).

The spelling of 3440400414 in words is "three billion, four hundred forty million, four hundred thousand, four hundred fourteen".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 627 1254 2743541 5487082 8230623 16461246 30178951 52127279 60357902 90536853 104254558 156381837 181073706 312763674 573400069 1146800138 1720200207 3440400414