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1349333988 = 223831578629
BaseRepresentation
bin101000001101101…
…0011001111100100
310111001000021020220
41100123103033210
510230412141423
6341520524340
745303102222
oct12033231744
93431007226
101349333988
11632733662
12317a806b0
1318671c1a2
14cb2c3b12
157d6d79e3
hex506d33e4

1349333988 has 48 divisors (see below), whose sum is σ = 3207046080. Its totient is φ = 441477504.

The previous prime is 1349333987. The next prime is 1349334029. The reversal of 1349333988 is 8893339431.

It is a super-3 number, since 3×13493339883 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1349333988.

It is not an unprimeable number, because it can be changed into a prime (1349333987) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152058 + ... + 160686.

It is an arithmetic number, because the mean of its divisors is an integer number (66813460).

Almost surely, 21349333988 is an apocalyptic number.

It is an amenable number.

1349333988 is an abundant number, since it is smaller than the sum of its proper divisors (1857712092).

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

1349333988 is a wasteful number, since it uses less digits than its factorization.

1349333988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8876 (or 8874 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 51.

The square root of 1349333988 is about 36733.2817483001. The cubic root of 1349333988 is about 1105.0276708672.

The spelling of 1349333988 in words is "one billion, three hundred forty-nine million, three hundred thirty-three thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 12 83 157 166 249 314 332 471 498 628 942 996 1884 8629 13031 17258 25887 26062 34516 39093 51774 52124 78186 103548 156372 716207 1354753 1432414 2148621 2709506 2864828 4064259 4297242 5419012 8128518 8594484 16257036 112444499 224888998 337333497 449777996 674666994 1349333988