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3643870356 = 2232764722349
BaseRepresentation
bin1101100100110001…
…0000110010010100
3100101221120210102100
43121030100302110
524430312322411
61401324442100
7156204246510
oct33114206224
910357523370
103643870356
1115aa962805
128583a9330
13460c00509
14267d2d140
15164d7a456
hexd9310c94

3643870356 has 72 divisors (see below), whose sum is σ = 10543478400. Its totient is φ = 1039450176.

The previous prime is 3643870343. The next prime is 3643870397. The reversal of 3643870356 is 6530783463.

It is a congruent number.

It is an unprimeable number.

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, 151870 + ... + 174218.

It is an arithmetic number, because the mean of its divisors is an integer number (146437200).

Almost surely, 23643870356 is an apocalyptic number.

3643870356 is a gapful number since it is divisible by the number (36) 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 3643870356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5271739200).

3643870356 is an abundant number, since it is smaller than the sum of its proper divisors (6899608044).

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

3643870356 is a wasteful number, since it uses less digits than its factorization.

3643870356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23013 (or 23008 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The square root of 3643870356 is about 60364.4792572586. The cubic root of 3643870356 is about 1538.8193508852.

The spelling of 3643870356 in words is "three billion, six hundred forty-three million, eight hundred seventy thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 647 1294 1941 2588 3882 4529 5823 7764 9058 11646 13587 18116 22349 23292 27174 40761 44698 54348 67047 81522 89396 134094 156443 163044 201141 268188 312886 402282 469329 625772 804564 938658 1407987 1877316 2815974 5631948 14459803 28919606 43379409 57839212 86758818 101218621 130138227 173517636 202437242 260276454 303655863 404874484 520552908 607311726 910967589 1214623452 1821935178 3643870356