Search a number
-
+
3642065240 = 2351125033307
BaseRepresentation
bin1101100100010101…
…1000000101011000
3100101211012002021012
43121011120011120
524424332041430
61401222033052
7156153021002
oct33105300530
910354162235
103642065240
1115a993a580
12857878788
1346071a9b8
142679bd372
15164b20695
hexd9158158

3642065240 has 64 divisors (see below), whose sum is σ = 8945890560. Its totient is φ = 1323457920.

The previous prime is 3642065201. The next prime is 3642065243. The reversal of 3642065240 is 425602463.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3642065197 and 3642065206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3642065243) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1099667 + ... + 1102973.

It is an arithmetic number, because the mean of its divisors is an integer number (139779540).

Almost surely, 23642065240 is an apocalyptic number.

It is an amenable number.

3642065240 is an abundant number, since it is smaller than the sum of its proper divisors (5303825320).

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

3642065240 is a wasteful number, since it uses less digits than its factorization.

3642065240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5832 (or 5828 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The square root of 3642065240 is about 60349.5255987982. The cubic root of 3642065240 is about 1538.5652066219.

The spelling of 3642065240 in words is "three billion, six hundred forty-two million, sixty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 2503 3307 5006 6614 10012 12515 13228 16535 20024 25030 26456 27533 33070 36377 50060 55066 66140 72754 100120 110132 132280 137665 145508 181885 220264 275330 291016 363770 550660 727540 1101320 1455080 8277421 16554842 33109684 41387105 66219368 82774210 91051631 165548420 182103262 331096840 364206524 455258155 728413048 910516310 1821032620 3642065240