Search a number
-
+
3371272128 = 263272119447
BaseRepresentation
bin1100100011110001…
…1000011111000000
322200221122100221200
43020330120133000
523401021202003
61314310021200
7146354224500
oct31074303700
98627570850
103371272128
11147aaa4714
127a1047800
134195a7ba3
1423da4da00
1514ae806a3
hexc8f187c0

3371272128 has 126 divisors (see below), whose sum is σ = 11240892936. Its totient is φ = 963212544.

The previous prime is 3371272117. The next prime is 3371272139. The reversal of 3371272128 is 8212721733.

3371272128 is a `hidden beast` number, since 3 + 371 + 272 + 12 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (3371272117) and next prime (3371272139).

It is a tau number, because it is divible by the number of its divisors (126).

It is a super-2 number, since 2×33712721282 = 22730951522059296768, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3371272092 and 3371272101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 31500 + ... + 87947.

It is an arithmetic number, because the mean of its divisors is an integer number (89213436).

Almost surely, 23371272128 is an apocalyptic number.

It is an amenable number.

3371272128 is an abundant number, since it is smaller than the sum of its proper divisors (7869620808).

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

3371272128 is a wasteful number, since it uses less digits than its factorization.

3371272128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119479 (or 119459 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 3371272128 is about 58062.6569147503. The cubic root of 3371272128 is about 1499.4475192016.

The spelling of 3371272128 in words is "three billion, three hundred seventy-one million, two hundred seventy-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 192 196 224 252 288 294 336 392 441 448 504 576 588 672 784 882 1008 1176 1344 1568 1764 2016 2352 3136 3528 4032 4704 7056 9408 14112 28224 119447 238894 358341 477788 716682 836129 955576 1075023 1433364 1672258 1911152 2150046 2508387 2866728 3344516 3822304 4300092 5016774 5733456 5852903 6689032 7525161 7644608 8600184 10033548 11466912 11705806 13378064 15050322 17200368 17558709 20067096 22933824 23411612 26756128 30100644 34400736 35117418 40134192 46823224 52676127 53512256 60201288 68801472 70234836 80268384 93646448 105352254 120402576 140469672 160536768 187292896 210704508 240805152 280939344 374585792 421409016 481610304 561878688 842818032 1123757376 1685636064 3371272128