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1348503444 = 223317734479
BaseRepresentation
bin101000001100000…
…1000011110010100
310110222110001222000
41100120020132110
510230204102234
6341451035300
745263042631
oct12030103624
93428401860
101348503444
11632216662
1231773bb30
131864bb142
14cb149188
157d5c1899
hex50608794

1348503444 has 48 divisors (see below), whose sum is σ = 3701779200. Its totient is φ = 423059328.

The previous prime is 1348503421. The next prime is 1348503463. The reversal of 1348503444 is 4443058431.

1348503444 is a `hidden beast` number, since 134 + 85 + 0 + 3 + 444 = 666.

It is a super-2 number, since 2×13485034442 = 3636923076959722272, 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 = 1348503399 and 1348503408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 365404 + ... + 369075.

It is an arithmetic number, because the mean of its divisors is an integer number (77120400).

Almost surely, 21348503444 is an apocalyptic number.

It is an amenable number.

1348503444 is an abundant number, since it is smaller than the sum of its proper divisors (2353275756).

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

1348503444 is a wasteful number, since it uses less digits than its factorization.

1348503444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734509 (or 734501 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 1348503444 is about 36721.9749468898. The cubic root of 1348503444 is about 1104.8009015924.

The spelling of 1348503444 in words is "one billion, three hundred forty-eight million, five hundred three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1836 734479 1468958 2203437 2937916 4406874 6610311 8813748 12486143 13220622 19830933 24972286 26441244 37458429 39661866 49944572 74916858 79323732 112375287 149833716 224750574 337125861 449501148 674251722 1348503444