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2374906976 = 251321929797
BaseRepresentation
bin1000110110001110…
…0011010001100000
320010111210202220122
42031203203101200
514330434010401
61031354255412
7112565243021
oct21543432140
96114722818
102374906976
111009633842
12563427568
132bb041300
141875aac48
15dd76b21b
hex8d8e3460

2374906976 has 144 divisors (see below), whose sum is σ = 5520085200. Its totient is φ = 1001355264.

The previous prime is 2374906967. The next prime is 2374906979. The reversal of 2374906976 is 6796094732.

It is a super-3 number, since 3×23749069763 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2374906979) 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 23 ways as a sum of consecutive naturals, for example, 2979410 + ... + 2980206.

It is an arithmetic number, because the mean of its divisors is an integer number (38333925).

Almost surely, 22374906976 is an apocalyptic number.

2374906976 is a gapful number since it is divisible by the number (26) 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 2374906976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2760042600).

2374906976 is an abundant number, since it is smaller than the sum of its proper divisors (3145178224).

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

2374906976 is a wasteful number, since it uses less digits than its factorization.

2374906976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 53.

The square root of 2374906976 is about 48733.0173085968. The cubic root of 2374906976 is about 1334.1834048076.

The spelling of 2374906976 in words is "two billion, three hundred seventy-four million, nine hundred six thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 13 16 19 26 29 32 38 52 58 76 104 116 152 169 208 232 247 304 338 377 416 464 494 551 608 676 754 797 928 988 1102 1352 1508 1594 1976 2204 2704 3016 3188 3211 3952 4408 4901 5408 6032 6376 6422 7163 7904 8816 9802 10361 12064 12752 12844 14326 15143 17632 19604 20722 23113 25504 25688 28652 30286 39208 41444 46226 51376 57304 60572 78416 82888 92452 93119 102752 114608 121144 134693 156832 165776 184904 186238 196859 229216 242288 269386 300469 331552 369808 372476 393718 439147 484576 538772 600938 739616 744952 787436 878294 1077544 1201876 1489904 1574872 1756588 2155088 2403752 2559167 2979808 3149744 3513176 3906097 4310176 4807504 5118334 5708911 6299488 7026352 7812194 9615008 10236668 11417822 14052704 15624388 20473336 22835644 31248776 40946672 45671288 62497552 74215843 81893344 91342576 124995104 148431686 182685152 296863372 593726744 1187453488 2374906976