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3640353420 = 22351114393833
BaseRepresentation
bin1101100011111011…
…0110001010001100
3100101200222010002110
43120332312022030
524423412302140
61401121224020
7156132331164
oct33076661214
910350863073
103640353420
1115a8980450
12857192010
1346026b7a2
142676955a4
151648d3380
hexd8fb628c

3640353420 has 96 divisors (see below), whose sum is σ = 11130255360. Its totient is φ = 881666560.

The previous prime is 3640353419. The next prime is 3640353433. The reversal of 3640353420 is 243530463.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 947824 + ... + 951656.

It is an arithmetic number, because the mean of its divisors is an integer number (115940160).

Almost surely, 23640353420 is an apocalyptic number.

3640353420 is a gapful number since it is divisible by the number (30) 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 3640353420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5565127680).

3640353420 is an abundant number, since it is smaller than the sum of its proper divisors (7489901940).

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

3640353420 is a wasteful number, since it uses less digits than its factorization.

3640353420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5295 (or 5293 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

The square root of 3640353420 is about 60335.3413846313. The cubic root of 3640353420 is about 1538.3241200169.

Adding to 3640353420 its reverse (243530463), we get a palindrome (3883883883).

The spelling of 3640353420 in words is "three billion, six hundred forty million, three hundred fifty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1439 2878 3833 4317 5756 7195 7666 8634 11499 14390 15332 15829 17268 19165 21585 22998 28780 31658 38330 42163 43170 45996 47487 57495 63316 76660 79145 84326 86340 94974 114990 126489 158290 168652 189948 210815 229980 237435 252978 316580 421630 474870 505956 632445 843260 949740 1264890 2529780 5515687 11031374 16547061 22062748 27578435 33094122 55156870 60672557 66188244 82735305 110313740 121345114 165470610 182017671 242690228 303362785 330941220 364035342 606725570 728070684 910088355 1213451140 1820176710 3640353420