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3654213444 = 22327174383239
BaseRepresentation
bin1101100111001110…
…1101111101000100
3100102200001021110200
43121303231331010
524440434312234
61402334250500
7156361205340
oct33163557504
910380037420
103654213444
111605787712
1285b956a30
134630b229b
14269462620
15165c1ed99
hexd9cedf44

3654213444 has 288 divisors, whose sum is σ = 11623772160. Its totient is φ = 944262144.

The previous prime is 3654213421. The next prime is 3654213449. The reversal of 3654213444 is 4443124563.

It is a super-2 number, since 2×36542134442 = 26706551788620682272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3654213399 and 3654213408.

It is not an unprimeable number, because it can be changed into a prime (3654213449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15289477 + ... + 15289715.

It is an arithmetic number, because the mean of its divisors is an integer number (40360320).

Almost surely, 23654213444 is an apocalyptic number.

3654213444 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3654213444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5811886080).

3654213444 is an abundant number, since it is smaller than the sum of its proper divisors (7969558716).

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

3654213444 is a wasteful number, since it uses less digits than its factorization.

3654213444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 394 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 3654213444 is about 60450.0905210240. The cubic root of 3654213444 is about 1540.2739496902.

The spelling of 3654213444 in words is "three billion, six hundred fifty-four million, two hundred thirteen thousand, four hundred forty-four".