Search a number
-
+
3075505416 = 2333373471109
BaseRepresentation
bin1011011101010000…
…0111110100001000
321221100002212022000
42313110013310020
522244312133131
61225102431000
7136133236044
oct26724076410
97840085260
103075505416
111339051815
12719b92460
133a022cbb9
1421265d024
1513000ace6
hexb7507d08

3075505416 has 128 divisors (see below), whose sum is σ = 8807184000. Its totient is φ = 993689856.

The previous prime is 3075505409. The next prime is 3075505417. The reversal of 3075505416 is 6145055703.

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

It is not an unprimeable number, because it can be changed into a prime (3075505417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2772670 + ... + 2773778.

It is an arithmetic number, because the mean of its divisors is an integer number (68806125).

Almost surely, 23075505416 is an apocalyptic number.

3075505416 is a gapful number since it is divisible by the number (36) 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 3075505416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4403592000).

3075505416 is an abundant number, since it is smaller than the sum of its proper divisors (5731678584).

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

3075505416 is a wasteful number, since it uses less digits than its factorization.

3075505416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 3075505416 is about 55457.2395274053. The cubic root of 3075505416 is about 1454.2491949531.

The spelling of 3075505416 in words is "three billion, seventy-five million, five hundred five thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 111 148 216 222 296 333 347 444 666 694 888 999 1041 1109 1332 1388 1998 2082 2218 2664 2776 3123 3327 3996 4164 4436 6246 6654 7992 8328 8872 9369 9981 12492 12839 13308 18738 19962 24984 25678 26616 29943 37476 38517 39924 41033 51356 59886 74952 77034 79848 82066 102712 115551 119772 123099 154068 164132 231102 239544 246198 308136 328264 346653 369297 384823 462204 492396 693306 738594 769646 924408 984792 1107891 1154469 1386612 1477188 1539292 2215782 2308938 2773224 2954376 3078584 3463407 4431564 4617876 6926814 8863128 9235752 10390221 13853628 14238451 20780442 27707256 28476902 41560884 42715353 56953804 83121768 85430706 113907608 128146059 170861412 256292118 341722824 384438177 512584236 768876354 1025168472 1537752708 3075505416