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1003401344 = 27113312153
BaseRepresentation
bin111011110011101…
…011000010000000
32120221002001212202
4323303223002000
54023332320334
6243322212332
733602525231
oct7363530200
92527061782
101003401344
11475437310
122400540a8
1312cb5b40a
1497395088
155d15417e
hex3bceb080

1003401344 has 64 divisors (see below), whose sum is σ = 2188291680. Its totient is φ = 454502400.

The previous prime is 1003401341. The next prime is 1003401361. The reversal of 1003401344 is 4431043001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1003401341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 464972 + ... + 467124.

Almost surely, 21003401344 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 1003401344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094145840).

1003401344 is an abundant number, since it is smaller than the sum of its proper divisors (1184890336).

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

1003401344 is a wasteful number, since it uses less digits than its factorization.

1003401344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2509 (or 2497 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1003401344 is about 31676.5109189759. The cubic root of 1003401344 is about 1001.1324982968.

Adding to 1003401344 its reverse (4431043001), we get a palindrome (5434444345).

The spelling of 1003401344 in words is "one billion, three million, four hundred one thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 331 352 662 704 1324 1408 2153 2648 3641 4306 5296 7282 8612 10592 14564 17224 21184 23683 29128 34448 42368 47366 58256 68896 94732 116512 137792 189464 233024 275584 378928 466048 712643 757856 1425286 1515712 2850572 3031424 5701144 7839073 11402288 15678146 22804576 31356292 45609152 62712584 91218304 125425168 250850336 501700672 1003401344