Search a number
-
+
3428762988 = 2237477311897
BaseRepresentation
bin1100110001011110…
…1100010101101100
322211221211012120210
43030113230111230
524010230403423
61324122142420
7150653001360
oct31427542554
98757735523
103428762988
1114aa4a1422
127b8351a10
13428486a51
142475372a0
15151039b93
hexcc5ec56c

3428762988 has 96 divisors (see below), whose sum is σ = 9466619904. Its totient is φ = 945589248.

The previous prime is 3428762917. The next prime is 3428763043. The reversal of 3428762988 is 8892678243.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282256 + ... + 294152.

It is an arithmetic number, because the mean of its divisors is an integer number (98610624).

Almost surely, 23428762988 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 3428762988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4733309952).

3428762988 is an abundant number, since it is smaller than the sum of its proper divisors (6037856916).

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

3428762988 is a wasteful number, since it uses less digits than its factorization.

3428762988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12031 (or 12029 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 57.

The square root of 3428762988 is about 58555.6401040924. The cubic root of 3428762988 is about 1507.9229645183.

The spelling of 3428762988 in words is "three billion, four hundred twenty-eight million, seven hundred sixty-two thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 73 84 94 141 146 188 219 282 292 329 438 511 564 658 876 987 1022 1316 1533 1974 2044 3066 3431 3948 6132 6862 10293 11897 13724 20586 23794 24017 35691 41172 47588 48034 71382 72051 83279 96068 142764 144102 166558 249837 288204 333116 499674 559159 868481 999348 1118318 1677477 1736962 2236636 2605443 3354954 3473924 3914113 5210886 6079367 6709908 7828226 10421772 11742339 12158734 15656452 18238101 23484678 24317468 36476202 40818607 46969356 72952404 81637214 122455821 163274428 244911642 285730249 489823284 571460498 857190747 1142920996 1714381494 3428762988