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469034368 = 27114361127
BaseRepresentation
bin11011111101001…
…110010110000000
31012200120102012021
4123331032112000
51430033044433
6114313011224
714423504065
oct3375162600
91180512167
10469034368
11220837510
121110b3b14
137623273a
1446414c6c
152b29d22d
hex1bf4e580

469034368 has 128 divisors (see below), whose sum is σ = 1068503040. Its totient is φ = 203212800.

The previous prime is 469034351. The next prime is 469034381. The reversal of 469034368 is 863430964.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3693121 + ... + 3693247.

It is an arithmetic number, because the mean of its divisors is an integer number (8347680).

Almost surely, 2469034368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 469034368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534251520).

469034368 is an abundant number, since it is smaller than the sum of its proper divisors (599468672).

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

469034368 is a wasteful number, since it uses less digits than its factorization.

469034368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 43.

The square root of 469034368 is about 21657.2012965665. The cubic root of 469034368 is about 776.9651787329.

The spelling of 469034368 in words is "four hundred sixty-nine million, thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 43 44 61 64 86 88 122 127 128 172 176 244 254 344 352 473 488 508 671 688 704 946 976 1016 1342 1376 1397 1408 1892 1952 2032 2623 2684 2752 2794 3784 3904 4064 5246 5368 5461 5504 5588 7568 7747 7808 8128 10492 10736 10922 11176 15136 15494 16256 20984 21472 21844 22352 28853 30272 30988 41968 42944 43688 44704 57706 60071 60544 61976 83936 85217 85888 87376 89408 115412 120142 123952 167872 170434 174752 178816 230824 240284 247904 333121 335744 340868 349504 461648 480568 495808 666242 681736 699008 923296 961136 991616 1332484 1363472 1846592 1922272 2664968 2726944 3664331 3693184 3844544 5329936 5453888 7328662 7689088 10659872 10907776 14657324 21319744 29314648 42639488 58629296 117258592 234517184 469034368