Search a number
-
+
3540473472 = 273109251337
BaseRepresentation
bin1101001100000111…
…0101011010000000
3100010202000200120010
43103001311122000
524222330122342
61343152344520
7153510346044
oct32301653200
910122020503
103540473472
111557561138
12829845140
1344566a823
142582d6024
1515ac5429c
hexd3075680

3540473472 has 128 divisors (see below), whose sum is σ = 9556747200. Its totient is φ = 1161216000.

The previous prime is 3540473441. The next prime is 3540473473. The reversal of 3540473472 is 2743740453.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 3540473472.

It is not an unprimeable number, because it can be changed into a prime (3540473473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10505688 + ... + 10506024.

Almost surely, 23540473472 is an apocalyptic number.

3540473472 is a gapful number since it is divisible by the number (32) 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 3540473472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4778373600).

3540473472 is an abundant number, since it is smaller than the sum of its proper divisors (6016273728).

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

3540473472 is a wasteful number, since it uses less digits than its factorization.

3540473472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 39.

The square root of 3540473472 is about 59501.8778863323. The cubic root of 3540473472 is about 1524.1245136313.

The spelling of 3540473472 in words is "three billion, five hundred forty million, four hundred seventy-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 128 192 218 251 327 337 384 436 502 654 674 753 872 1004 1011 1308 1348 1506 1744 2008 2022 2616 2696 3012 3488 4016 4044 5232 5392 6024 6976 8032 8088 10464 10784 12048 13952 16064 16176 20928 21568 24096 27359 32128 32352 36733 41856 43136 48192 54718 64704 73466 82077 84587 96384 109436 110199 129408 146932 164154 169174 218872 220398 253761 293864 328308 338348 437744 440796 507522 587728 656616 676696 875488 881592 1015044 1175456 1313232 1353392 1750976 1763184 2030088 2350912 2626464 2706784 3501952 3526368 4060176 4701824 5252928 5413568 7052736 8120352 9219983 10505856 10827136 14105472 16240704 18439966 27659949 32481408 36879932 55319898 73759864 110639796 147519728 221279592 295039456 442559184 590078912 885118368 1180157824 1770236736 3540473472