Search a number
-
+
3352972160 = 27571113653
BaseRepresentation
bin1100011111011010…
…0100101110000000
322122200012122010002
43013312210232000
523331330102120
61312413455132
7146042536016
oct30766445600
98580178102
103352972160
11147073567a
12796aa14a8
1341586b4c5
1423b4488b6
15149568375
hexc7da4b80

3352972160 has 128 divisors (see below), whose sum is σ = 8213088960. Its totient is φ = 1308590080.

The previous prime is 3352972159. The next prime is 3352972201. The reversal of 3352972160 is 612792533.

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

It is a super-2 number, since 2×33529721602 = 22484844611470131200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5134394 + ... + 5135046.

Almost surely, 23352972160 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 3352972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4106544480).

3352972160 is an abundant number, since it is smaller than the sum of its proper divisors (4860116800).

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

3352972160 is a wasteful number, since it uses less digits than its factorization.

3352972160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 38.

The square root of 3352972160 is about 57904.8543733598. The cubic root of 3352972160 is about 1496.7294906579.

The spelling of 3352972160 in words is "three billion, three hundred fifty-two million, nine hundred seventy-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 71 80 113 128 142 160 226 284 320 355 452 565 568 640 653 710 904 1130 1136 1306 1420 1808 2260 2272 2612 2840 3265 3616 4520 4544 5224 5680 6530 7232 8023 9040 9088 10448 11360 13060 14464 16046 18080 20896 22720 26120 32092 36160 40115 41792 45440 46363 52240 64184 72320 73789 80230 83584 92726 104480 128368 147578 160460 185452 208960 231815 256736 295156 320920 368945 370904 417920 463630 513472 590312 641840 737890 741808 927260 1026944 1180624 1283680 1475780 1483616 1854520 2361248 2567360 2951560 2967232 3709040 4722496 5134720 5239019 5903120 5934464 7418080 9444992 10478038 11806240 14836160 20956076 23612480 26195095 29672320 41912152 47224960 52390190 83824304 104780380 167648608 209560760 335297216 419121520 670594432 838243040 1676486080 3352972160