Search a number
-
+
2974660824 = 2331952312473
BaseRepresentation
bin1011000101001101…
…1011100011011000
321200022100102112010
42301103123203120
522043003121244
61211101145520
7133500125352
oct26123334330
97608312463
102974660824
111297133783
126b025b2a0
13385381b45
142030cc0d2
1512623aeb9
hexb14db8d8

2974660824 has 64 divisors (see below), whose sum is σ = 7843651200. Its totient is φ = 937495296.

The previous prime is 2974660813. The next prime is 2974660847. The reversal of 2974660824 is 4280664792.

2974660824 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 232252 + ... + 244724.

It is an arithmetic number, because the mean of its divisors is an integer number (122557050).

Almost surely, 22974660824 is an apocalyptic number.

2974660824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2974660824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3921825600).

2974660824 is an abundant number, since it is smaller than the sum of its proper divisors (4868990376).

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

2974660824 is a wasteful number, since it uses less digits than its factorization.

2974660824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13024 (or 13020 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The square root of 2974660824 is about 54540.4512632596. The cubic root of 2974660824 is about 1438.1774821350.

The spelling of 2974660824 in words is "two billion, nine hundred seventy-four million, six hundred sixty thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 523 1046 1569 2092 3138 4184 6276 9937 12473 12552 19874 24946 29811 37419 39748 49892 59622 74838 79496 99784 119244 149676 236987 238488 299352 473974 710961 947948 1421922 1895896 2843844 5687688 6523379 13046758 19570137 26093516 39140274 52187032 78280548 123944201 156561096 247888402 371832603 495776804 743665206 991553608 1487330412 2974660824