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3441053440 = 28511244393
BaseRepresentation
bin1100110100011010…
…0100111100000000
322212210221121220201
43031012210330000
524021402202230
61325241414544
7151162320526
oct31506447400
98783847821
103441053440
111506426420
1280049a454
1342ab9acc6
14249016316
151521665ca
hexcd1a4f00

3441053440 has 72 divisors (see below), whose sum is σ = 8991744048. Its totient is φ = 1251287040.

The previous prime is 3441053431. The next prime is 3441053449. The reversal of 3441053440 is 443501443.

It is an interprime number because it is at equal distance from previous prime (3441053431) and next prime (3441053449).

It is a junction number, because it is equal to n+sod(n) for n = 3441053399 and 3441053408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3441053449) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 108117 + ... + 136276.

It is an arithmetic number, because the mean of its divisors is an integer number (124885334).

Almost surely, 23441053440 is an apocalyptic number.

It is an amenable number.

3441053440 is an abundant number, since it is smaller than the sum of its proper divisors (5550690608).

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

3441053440 is a wasteful number, since it uses less digits than its factorization.

3441053440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244425 (or 244411 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 3441053440 is about 58660.4930084976. The cubic root of 3441053440 is about 1509.7225401348.

Adding to 3441053440 its reverse (443501443), we get a palindrome (3884554883).

The spelling of 3441053440 in words is "three billion, four hundred forty-one million, fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 640 704 880 1280 1408 1760 2816 3520 7040 14080 244393 488786 977572 1221965 1955144 2443930 2688323 3910288 4887860 5376646 7820576 9775720 10753292 13441615 15641152 19551440 21506584 26883230 31282304 39102880 43013168 53766460 62564608 78205760 86026336 107532920 156411520 172052672 215065840 312823040 344105344 430131680 688210688 860263360 1720526720 3441053440