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3440023220 = 2254317772251
BaseRepresentation
bin1100110100001010…
…1001011010110100
322212202000021201102
43031002221122310
524021121220340
61325203345232
7151150500134
oct31502513264
98782007642
103440023220
1115058923a7
12800082218
1342a8ca0ca
14248c28ac4
15152011215
hexcd0a96b4

3440023220 has 48 divisors (see below), whose sum is σ = 7399495488. Its totient is φ = 1342656000.

The previous prime is 3440023217. The next prime is 3440023241. The reversal of 3440023220 is 223200443.

It is a Harshad number since it is a multiple of its sum of digits (20).

3440023220 is a modest number, since divided by 23220 gives 3440 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 3440023192 and 3440023201.

It is a congruent number.

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, 1527095 + ... + 1529345.

It is an arithmetic number, because the mean of its divisors is an integer number (154156156).

Almost surely, 23440023220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3440023220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3699747744).

3440023220 is an abundant number, since it is smaller than the sum of its proper divisors (3959472268).

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

3440023220 is a wasteful number, since it uses less digits than its factorization.

3440023220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4080 (or 4078 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 3440023220 is about 58651.7111429837. The cubic root of 3440023220 is about 1509.5718593789.

Adding to 3440023220 its reverse (223200443), we get a palindrome (3663223663).

The spelling of 3440023220 in words is "three billion, four hundred forty million, twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 860 1777 2251 3554 4502 7108 8885 9004 11255 17770 22510 35540 45020 76411 96793 152822 193586 305644 382055 387172 483965 764110 967930 1528220 1935860 4000027 8000054 16000108 20000135 40000270 80000540 172001161 344002322 688004644 860005805 1720011610 3440023220