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3134752608 = 253132474111
BaseRepresentation
bin1011101011011000…
…1000011101100000
322002110120221011110
42322312020131200
522404444040413
61235020343320
7140452646301
oct27266103540
98073527143
103134752608
111369539039
127359a4b40
133ac5a5300
1421a4827a8
151353108c3
hexbad88760

3134752608 has 144 divisors (see below), whose sum is σ = 9102191616. Its totient is φ = 943787520.

The previous prime is 3134752531. The next prime is 3134752637. The reversal of 3134752608 is 8062574313.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 760473 + ... + 764583.

It is an arithmetic number, because the mean of its divisors is an integer number (63209664).

Almost surely, 23134752608 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 3134752608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4551095808).

3134752608 is an abundant number, since it is smaller than the sum of its proper divisors (5967439008).

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

3134752608 is a wasteful number, since it uses less digits than its factorization.

3134752608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4197 (or 4176 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 3134752608 is about 55988.8614636876. The cubic root of 3134752608 is about 1463.5281856243.

The spelling of 3134752608 in words is "three billion, one hundred thirty-four million, seven hundred fifty-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 47 48 52 78 94 96 104 141 156 169 188 208 282 312 338 376 416 507 564 611 624 676 752 1014 1128 1222 1248 1352 1504 1833 2028 2256 2444 2704 3666 4056 4111 4512 4888 5408 7332 7943 8112 8222 9776 12333 14664 15886 16224 16444 19552 23829 24666 29328 31772 32888 47658 49332 53443 58656 63544 65776 95316 98664 106886 127088 131552 160329 190632 193217 197328 213772 254176 320658 381264 386434 394656 427544 579651 641316 694759 762528 772868 855088 1159302 1282632 1389518 1545736 1710176 2084277 2318604 2511821 2565264 2779036 3091472 4168554 4637208 5023642 5130528 5558072 6182944 7535463 8337108 9274416 10047284 11116144 15070926 16674216 18548832 20094568 22232288 30141852 32653673 33348432 40189136 60283704 65307346 66696864 80378272 97961019 120567408 130614692 195922038 241134816 261229384 391844076 522458768 783688152 1044917536 1567376304 3134752608