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3641682744 = 2332721760719
BaseRepresentation
bin1101100100001111…
…1010101100111000
3100101210110122120200
43121003322230320
524424232321434
61401205522200
7156146535600
oct33103725470
910353418520
103641682744
1115a96a9167
12857713360
1346061587b
1426791dc00
15164a97199
hexd90fab38

3641682744 has 144 divisors (see below), whose sum is σ = 12148250400. Its totient is φ = 979259904.

The previous prime is 3641682719. The next prime is 3641682749. The reversal of 3641682744 is 4472861463.

3641682744 is a `hidden beast` number, since 364 + 16 + 8 + 274 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3641682744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3641682749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29617 + ... + 90335.

It is an arithmetic number, because the mean of its divisors is an integer number (84362850).

Almost surely, 23641682744 is an apocalyptic number.

3641682744 is a gapful number since it is divisible by the number (34) 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 3641682744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6074125200).

3641682744 is an abundant number, since it is smaller than the sum of its proper divisors (8506567656).

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

3641682744 is a wasteful number, since it uses less digits than its factorization.

3641682744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60762 (or 60748 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 3641682744 is about 60346.3565097347. The cubic root of 3641682744 is about 1538.5113438086.

The spelling of 3641682744 in words is "three billion, six hundred forty-one million, six hundred eighty-two thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 49 51 56 63 68 72 84 98 102 119 126 136 147 153 168 196 204 238 252 294 306 357 392 408 441 476 504 588 612 714 833 882 952 1071 1176 1224 1428 1666 1764 2142 2499 2856 3332 3528 4284 4998 6664 7497 8568 9996 14994 19992 29988 59976 60719 121438 182157 242876 364314 425033 485752 546471 728628 850066 1032223 1092942 1275099 1457256 1700132 2064446 2185884 2550198 2975231 3096669 3400264 3825297 4128892 4371768 5100396 5950462 6193338 7225561 7650594 8257784 8925693 9290007 10200792 11900924 12386676 14451122 15301188 17851386 18580014 21676683 23801848 24773352 26777079 28902244 30602376 35702772 37160028 43353366 50578927 53554158 57804488 65030049 71405544 74320056 86706732 101157854 107108316 130060098 151736781 173413464 202315708 214216632 260120196 303473562 404631416 455210343 520240392 606947124 910420686 1213894248 1820841372 3641682744