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1346927904 = 253274331543
BaseRepresentation
bin101000001001000…
…0111110100100000
310110212111000201200
41100102013310200
510224303143104
6341353201200
745243461340
oct12022076440
93425430650
101346927904
1163133a963
12317100200
13186088c7a
14cac58d20
157d3aeb39
hex50487d20

1346927904 has 144 divisors (see below), whose sum is σ = 4390468992. Its totient is φ = 383698944.

The previous prime is 1346927899. The next prime is 1346927921. The reversal of 1346927904 is 4097296431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 1346927904.

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 23 ways as a sum of consecutive naturals, for example, 872157 + ... + 873699.

It is an arithmetic number, because the mean of its divisors is an integer number (30489368).

Almost surely, 21346927904 is an apocalyptic number.

1346927904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1346927904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2195234496).

1346927904 is an abundant number, since it is smaller than the sum of its proper divisors (3043541088).

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

1346927904 is a wasteful number, since it uses less digits than its factorization.

1346927904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1999 (or 1988 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 1346927904 is about 36700.5163996367. The cubic root of 1346927904 is about 1104.3704648326.

The spelling of 1346927904 in words is "one billion, three hundred forty-six million, nine hundred twenty-seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 433 504 672 866 1008 1299 1543 1732 2016 2598 3031 3086 3464 3897 4629 5196 6062 6172 6928 7794 9093 9258 10392 10801 12124 12344 13856 13887 15588 18186 18516 20784 21602 24248 24688 27279 27774 31176 32403 36372 37032 41568 43204 48496 49376 54558 55548 62352 64806 72744 74064 86408 96992 97209 109116 111096 124704 129612 145488 148128 172816 194418 218232 222192 259224 290976 345632 388836 436464 444384 518448 668119 777672 872928 1036896 1336238 1555344 2004357 2672476 3110688 4008714 4676833 5344952 6013071 8017428 9353666 10689904 12026142 14030499 16034856 18707332 21379808 24052284 28060998 32069712 37414664 42091497 48104568 56121996 64139424 74829328 84182994 96209136 112243992 149658656 168365988 192418272 224487984 336731976 448975968 673463952 1346927904