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3405131352 = 233376733613
BaseRepresentation
bin1100101011110110…
…0010111001011000
322210022100121002000
43022331202321120
523433203200402
61321515441000
7150245065440
oct31275427130
98708317060
103405131352
111498120647
127b0456160
1342360162c
14244345120
1514de1cc1c
hexcaf62e58

3405131352 has 128 divisors (see below), whose sum is σ = 10971609600. Its totient is φ = 958345344.

The previous prime is 3405131351. The next prime is 3405131377. The reversal of 3405131352 is 2531315043.

3405131352 is a `hidden beast` number, since 340 + 5 + 1 + 313 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3405131351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84498 + ... + 118110.

It is an arithmetic number, because the mean of its divisors is an integer number (85715700).

Almost surely, 23405131352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3405131352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5485804800).

3405131352 is an abundant number, since it is smaller than the sum of its proper divisors (7566478248).

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

3405131352 is a wasteful number, since it uses less digits than its factorization.

3405131352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33702 (or 33692 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 3405131352 is about 58353.5033395597. The cubic root of 3405131352 is about 1504.4506852064.

Adding to 3405131352 its reverse (2531315043), we get a palindrome (5936446395).

The spelling of 3405131352 in words is "three billion, four hundred five million, one hundred thirty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 67 72 84 108 126 134 168 189 201 216 252 268 378 402 469 504 536 603 756 804 938 1206 1407 1512 1608 1809 1876 2412 2814 3618 3752 4221 4824 5628 7236 8442 11256 12663 14472 16884 25326 33613 33768 50652 67226 100839 101304 134452 201678 235291 268904 302517 403356 470582 605034 705873 806712 907551 941164 1210068 1411746 1815102 1882328 2117619 2252071 2420136 2823492 3630204 4235238 4504142 5646984 6352857 6756213 7260408 8470476 9008284 12705714 13512426 15764497 16940952 18016568 20268639 25411428 27024852 31528994 40537278 47293491 50822856 54049704 60805917 63057988 81074556 94586982 121611834 126115976 141880473 162149112 189173964 243223668 283760946 378347928 425641419 486447336 567521892 851282838 1135043784 1702565676 3405131352