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2371668984 = 23348634241
BaseRepresentation
bin1000110101011100…
…1100101111111000
320010021201021020000
42031113030233320
514324121401414
61031201033000
7112525565556
oct21527145770
96107637200
102371668984
111007822013
12562325760
132ba479539
14186da6bd6
15dd32bb09
hex8d5ccbf8

2371668984 has 80 divisors (see below), whose sum is σ = 6652134720. Its totient is φ = 789454080.

The previous prime is 2371668947. The next prime is 2371668991. The reversal of 2371668984 is 4898661732.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2371668984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 557104 + ... + 561344.

It is an arithmetic number, because the mean of its divisors is an integer number (83151684).

Almost surely, 22371668984 is an apocalyptic number.

2371668984 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 2371668984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3326067360).

2371668984 is an abundant number, since it is smaller than the sum of its proper divisors (4280465736).

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

2371668984 is a wasteful number, since it uses less digits than its factorization.

2371668984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5122 (or 5109 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 2371668984 is about 48699.7842295015. The cubic root of 2371668984 is about 1333.5767789369.

The spelling of 2371668984 in words is "two billion, three hundred seventy-one million, six hundred sixty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 863 1726 2589 3452 4241 5178 6904 7767 8482 10356 12723 15534 16964 20712 23301 25446 31068 33928 38169 46602 50892 62136 69903 76338 93204 101784 114507 139806 152676 186408 229014 279612 305352 343521 458028 559224 687042 916056 1374084 2748168 3659983 7319966 10979949 14639932 21959898 29279864 32939847 43919796 65879694 87839592 98819541 131759388 197639082 263518776 296458623 395278164 592917246 790556328 1185834492 2371668984