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2274431376 = 2437411071543
BaseRepresentation
bin1000011110010001…
…0001000110010000
312212111202002022010
42013210101012100
514124223301001
61013404542520
7110235230160
oct20744210620
95774662263
102274431376
11a67947a58
12535851a40
132a32921a9
141780d45a0
15d4a208d6
hex87911190

2274431376 has 160 divisors (see below), whose sum is σ = 6947555328. Its totient is φ = 627655680.

The previous prime is 2274431363. The next prime is 2274431399. The reversal of 2274431376 is 6731344722.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1473261 + ... + 1474803.

Almost surely, 22274431376 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 2274431376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3473777664).

2274431376 is an abundant number, since it is smaller than the sum of its proper divisors (4673123952).

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

2274431376 is a wasteful number, since it uses less digits than its factorization.

2274431376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709 (or 1703 counting only the distinct ones).

The product of its digits is 169344, while the sum is 39.

The square root of 2274431376 is about 47690.9988991634. The cubic root of 2274431376 is about 1315.0964717882.

The spelling of 2274431376 in words is "two billion, two hundred seventy-four million, four hundred thirty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 107 112 123 164 168 214 246 287 321 328 336 428 492 574 642 656 749 856 861 984 1148 1284 1498 1543 1712 1722 1968 2247 2296 2568 2996 3086 3444 4387 4494 4592 4629 5136 5992 6172 6888 8774 8988 9258 10801 11984 12344 13161 13776 17548 17976 18516 21602 24688 26322 30709 32403 35096 35952 37032 43204 52644 61418 63263 64806 70192 74064 86408 92127 105288 122836 126526 129612 165101 172816 184254 189789 210576 245672 253052 259224 330202 368508 379578 442841 491344 495303 506104 518448 660404 737016 759156 885682 990606 1012208 1155707 1320808 1328523 1474032 1518312 1771364 1981212 2311414 2641616 2657046 3036624 3467121 3542728 3962424 4622828 5314092 6769141 6934242 7085456 7924848 9245656 10628184 13538282 13868484 18491312 20307423 21256368 27076564 27736968 40614846 47383987 54153128 55473936 81229692 94767974 108306256 142151961 162459384 189535948 284303922 324918768 379071896 568607844 758143792 1137215688 2274431376