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64349040 = 2435738303
BaseRepresentation
bin1111010101111…
…0001101110000
311111002021021210
43311132031300
5112433132130
610215120120
71410646350
oct365361560
9144067253
1064349040
1133361428
1219673040
1310440672
148790b60
1559b15b0
hex3d5e370

64349040 has 80 divisors (see below), whose sum is σ = 227985408. Its totient is φ = 14707968.

The previous prime is 64349017. The next prime is 64349041. The reversal of 64349040 is 4094346.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 64348989 and 64349007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64349041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17472 + ... + 20831.

Almost surely, 264349040 is an apocalyptic number.

64349040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

64349040 is an abundant number, since it is smaller than the sum of its proper divisors (163636368).

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

64349040 is a wasteful number, since it uses less digits than its factorization.

64349040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38326 (or 38320 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 64349040 is about 8021.7853374420. The cubic root of 64349040 is about 400.7258487290.

The spelling of 64349040 in words is "sixty-four million, three hundred forty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 38303 76606 114909 153212 191515 229818 268121 306424 383030 459636 536242 574545 612848 766060 804363 919272 1072484 1149090 1340605 1532120 1608726 1838544 2144968 2298180 2681210 3064240 3217452 4021815 4289936 4596360 5362420 6434904 8043630 9192720 10724840 12869808 16087260 21449680 32174520 64349040