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1349511480 = 2332519197297
BaseRepresentation
bin101000001101111…
…1110100100111000
310111001100021201200
41100123332210320
510230433331410
6341524414200
745304441542
oct12033764470
93431307650
101349511480
11632844a49
12317b47360
13186781c05
14cb32c692
157d7203c0
hex506fe938

1349511480 has 96 divisors (see below), whose sum is σ = 4616773200. Its totient is φ = 340927488.

The previous prime is 1349511463. The next prime is 1349511487. The reversal of 1349511480 is 841159431.

1349511480 is a `hidden beast` number, since 134 + 9 + 511 + 4 + 8 + 0 = 666.

1349511480 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1349511487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91809 + ... + 105488.

Almost surely, 21349511480 is an apocalyptic number.

1349511480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1349511480 is an abundant number, since it is smaller than the sum of its proper divisors (3267261720).

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

1349511480 is a wasteful number, since it uses less digits than its factorization.

1349511480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197333 (or 197326 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1349511480 is about 36735.6976250622. The cubic root of 1349511480 is about 1105.0761206886.

The spelling of 1349511480 in words is "one billion, three hundred forty-nine million, five hundred eleven thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 3420 6840 197297 394594 591891 789188 986485 1183782 1578376 1775673 1972970 2367564 2959455 3551346 3748643 3945940 4735128 5918910 7102692 7497286 7891880 8878365 11245929 11837820 14205384 14994572 17756730 18743215 22491858 23675640 29989144 33737787 35513460 37486430 44983716 56229645 67475574 71026920 74972860 89967432 112459290 134951148 149945720 168688935 224918580 269902296 337377870 449837160 674755740 1349511480