Search a number
-
+
3970239328 = 251153593607
BaseRepresentation
bin1110110010100101…
…0000101101100000
3101020200201001111001
43230221100231200
531112340124303
61453544001344
7200246322526
oct35451205540
911220631431
103970239328
111758107630
12929760254
134b3701653
14299408316
1518384731d
hexeca50b60

3970239328 has 96 divisors (see below), whose sum is σ = 8837579520. Its totient is φ = 1740111360.

The previous prime is 3970239311. The next prime is 3970239331. The reversal of 3970239328 is 8239320793.

It is a happy number.

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, 1098901 + ... + 1102507.

It is an arithmetic number, because the mean of its divisors is an integer number (92058120).

Almost surely, 23970239328 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 3970239328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4418789760).

3970239328 is an abundant number, since it is smaller than the sum of its proper divisors (4867340192).

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

3970239328 is a wasteful number, since it uses less digits than its factorization.

3970239328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3740 (or 3732 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 46.

The square root of 3970239328 is about 63009.8351688052. The cubic root of 3970239328 is about 1583.4544043141.

It can be divided in two parts, 397023 and 9328, that added together give a triangular number (406351 = T901).

The spelling of 3970239328 in words is "three billion, nine hundred seventy million, two hundred thirty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 53 59 88 106 118 176 212 236 352 424 472 583 649 848 944 1166 1298 1696 1888 2332 2596 3127 3607 4664 5192 6254 7214 9328 10384 12508 14428 18656 20768 25016 28856 34397 39677 50032 57712 68794 79354 100064 115424 137588 158708 191171 212813 275176 317416 382342 425626 550352 634832 764684 851252 1100704 1269664 1529368 1702504 2102881 2340943 3058736 3405008 4205762 4681886 6117472 6810016 8411524 9363772 11279089 16823048 18727544 22558178 33646096 37455088 45116356 67292192 74910176 90232712 124069979 180465424 248139958 360930848 496279916 992559832 1985119664 3970239328