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3164112424 = 2311377912301
BaseRepresentation
bin1011110010011000…
…1000011000101000
322011111211120021001
42330212020120220
522440003044144
61241545524344
7141260340364
oct27446103050
98144746231
103164112424
111384071550
127437a36b4
133b56b4a95
142203262a4
15137baebd4
hexbc988628

3164112424 has 64 divisors (see below), whose sum is σ = 6731654400. Its totient is φ = 1381536000.

The previous prime is 3164112421. The next prime is 3164112443. The reversal of 3164112424 is 4242114613.

It is a super-2 number, since 2×31641124242 = 20023214863422311552, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3164112392 and 3164112401.

It is not an unprimeable number, because it can be changed into a prime (3164112421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251074 + ... + 263374.

It is an arithmetic number, because the mean of its divisors is an integer number (105182100).

Almost surely, 23164112424 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 3164112424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3365827200).

3164112424 is an abundant number, since it is smaller than the sum of its proper divisors (3567541976).

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

3164112424 is a wasteful number, since it uses less digits than its factorization.

3164112424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12434 (or 12430 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

The square root of 3164112424 is about 56250.4437671384. The cubic root of 3164112424 is about 1468.0830867153.

The spelling of 3164112424 in words is "three billion, one hundred sixty-four million, one hundred twelve thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 22 37 44 74 79 88 148 158 296 316 407 632 814 869 1628 1738 2923 3256 3476 5846 6952 11692 12301 23384 24602 32153 49204 64306 98408 128612 135311 257224 270622 455137 541244 910274 971779 1082488 1820548 1943558 3641096 3887116 5006507 7774232 10013014 10689569 20026028 21379138 35955823 40052056 42758276 71911646 85516552 143823292 287646584 395514053 791028106 1582056212 3164112424