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3744228376 = 2372171314289
BaseRepresentation
bin1101111100101100…
…0110010000011000
3100122221102111202001
43133023012100120
530132010302001
61415311450344
7161533262500
oct33713062030
910587374661
103744228376
111651579219
12885b269b4
1347893ac65
142773b4a00
1516daa1001
hexdf2c6418

3744228376 has 96 divisors (see below), whose sum is σ = 8715049200. Its totient is φ = 1498398720.

The previous prime is 3744228353. The next prime is 3744228377. The reversal of 3744228376 is 6738224473.

It is a super-2 number, since 2×37442283762 = 28038492263287194752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3744228377) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 870840 + ... + 875128.

Almost surely, 23744228376 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 3744228376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4357524600).

3744228376 is an abundant number, since it is smaller than the sum of its proper divisors (4970820824).

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

3744228376 is a wasteful number, since it uses less digits than its factorization.

3744228376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4457 (or 4446 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 46.

The square root of 3744228376 is about 61190.1003104260. The cubic root of 3744228376 is about 1552.8187869234.

The spelling of 3744228376 in words is "three billion, seven hundred forty-four million, two hundred twenty-eight thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 17 28 34 49 56 68 98 119 131 136 196 238 262 392 476 524 833 917 952 1048 1666 1834 2227 3332 3668 4289 4454 6419 6664 7336 8578 8908 12838 15589 17156 17816 25676 30023 31178 34312 51352 60046 62356 72913 109123 120092 124712 145826 210161 218246 240184 291652 420322 436492 510391 561859 583304 840644 872984 1020782 1123718 1681288 2041564 2247436 3572737 3933013 4083128 4494872 7145474 7866026 9551603 14290948 15732052 19103206 27531091 28581896 31464104 38206412 55062182 66861221 76412824 110124364 133722442 220248728 267444884 468028547 534889768 936057094 1872114188 3744228376