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3444044478 = 23733115381
BaseRepresentation
bin1100110101000111…
…1111001010111110
322220000120120211220
43031101333022332
524023133410403
61325425454210
7151226616000
oct31521771276
98800516756
103444044478
111508089656
128014a1366
1342b6a7554
14249594370
15152557953
hexcd47f2be

3444044478 has 64 divisors (see below), whose sum is σ = 8060083200. Its totient is φ = 980666400.

The previous prime is 3444044477. The next prime is 3444044489. The reversal of 3444044478 is 8744404443.

It is a super-2 number, since 2×34440444782 = 23722884732884584968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3444044477) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 637348 + ... + 642728.

It is an arithmetic number, because the mean of its divisors is an integer number (125938800).

Almost surely, 23444044478 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3444044478, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4030041600).

3444044478 is an abundant number, since it is smaller than the sum of its proper divisors (4616038722).

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

3444044478 is a wasteful number, since it uses less digits than its factorization.

3444044478 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5718 (or 5704 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 42.

The square root of 3444044478 is about 58685.9819548076. The cubic root of 3444044478 is about 1510.1598412727.

The spelling of 3444044478 in words is "three billion, four hundred forty-four million, forty-four thousand, four hundred seventy-eight".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 311 343 622 686 933 1029 1866 2058 2177 4354 5381 6531 10762 13062 15239 16143 30478 32286 37667 45717 75334 91434 106673 113001 213346 226002 263669 320019 527338 640038 791007 1582014 1673491 1845683 3346982 3691366 5020473 5537049 10040946 11074098 11714437 23428874 35143311 70286622 82001059 164002118 246003177 492006354 574007413 1148014826 1722022239 3444044478