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3503394944 = 2772619157
BaseRepresentation
bin1101000011010001…
…1001000010000000
3100001011020220101022
43100310121002000
524133332114234
61335345525012
7152550236300
oct32064310200
910034226338
103503394944
111538636525
12819343768
1343aa8797a
14253403600
1515787ce2e
hexd0d19080

3503394944 has 96 divisors (see below), whose sum is σ = 8252914860. Its totient is φ = 1476679680.

The previous prime is 3503394931. The next prime is 3503394953. The reversal of 3503394944 is 4494933053.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2671649344 + 831745600 = 51688^2 + 28840^2 .

It is a super-2 number, since 2×35033949442 = 24547552267289526272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3503394895 and 3503394904.

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, 378014 + ... + 387170.

Almost surely, 23503394944 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 3503394944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4126457430).

3503394944 is an abundant number, since it is smaller than the sum of its proper divisors (4749519916).

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

3503394944 is an equidigital number, since it uses as much as digits as its factorization.

3503394944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9246 (or 9227 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 44.

The square root of 3503394944 is about 59189.4833902105. The cubic root of 3503394944 is about 1518.7852344188.

The spelling of 3503394944 in words is "three billion, five hundred three million, three hundred ninety-four thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 61 64 98 112 122 128 196 224 244 392 427 448 488 784 854 896 976 1568 1708 1952 2989 3136 3416 3904 5978 6272 6832 7808 9157 11956 13664 18314 23912 27328 36628 47824 54656 64099 73256 95648 128198 146512 191296 256396 293024 382592 448693 512792 558577 586048 897386 1025584 1117154 1172096 1794772 2051168 2234308 3589544 3910039 4102336 4468616 7179088 7820078 8204672 8937232 14358176 15640156 17874464 27370273 28716352 31280312 35748928 54740546 57432704 62560624 71497856 109481092 125121248 218962184 250242496 437924368 500484992 875848736 1751697472 3503394944