Search a number
-
+
3996976284 = 2232717933001
BaseRepresentation
bin1110111000111101…
…0000010010011100
3101022120000102200200
43232033100102130
531141211220114
61500341023500
7201022511040
oct35617202234
911276012620
103996976284
111771209494
129366b4b90
134b9103332
1429cba8020
15185d79409
hexee3d049c

3996976284 has 72 divisors (see below), whose sum is σ = 12226058208. Its totient is φ = 1074816000.

The previous prime is 3996976283. The next prime is 3996976297. The reversal of 3996976284 is 4826796993.

3996976284 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3996976283) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 462217 + ... + 470784.

It is an arithmetic number, because the mean of its divisors is an integer number (169806364).

Almost surely, 23996976284 is an apocalyptic number.

3996976284 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3996976284 is an abundant number, since it is smaller than the sum of its proper divisors (8229081924).

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

3996976284 is a wasteful number, since it uses less digits than its factorization.

3996976284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933035 (or 933030 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 63.

The square root of 3996976284 is about 63221.6441102254. The cubic root of 3996976284 is about 1587.0009636419. Note that the first 3 decimals are identical.

The spelling of 3996976284 in words is "three billion, nine hundred ninety-six million, nine hundred seventy-six thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 714 1071 1428 2142 4284 933001 1866002 2799003 3732004 5598006 6531007 8397009 11196012 13062014 15861017 16794018 19593021 26124028 31722034 33588036 39186042 47583051 58779063 63444068 78372084 95166102 111027119 117558126 142749153 190332204 222054238 235116252 285498306 333081357 444108476 570996612 666162714 999244071 1332325428 1998488142 3996976284