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645214104 = 2332137149439
BaseRepresentation
bin100110011101010…
…010111110011000
31122222002021100200
4212131102332120
52310133322404
6144005102200
721663141453
oct4635227630
91588067320
10645214104
1130122a9a7
121600b7960
13a38997c2
146199649a
153b99e839
hex26752f98

645214104 has 96 divisors (see below), whose sum is σ = 1776060000. Its totient is φ = 211585536.

The previous prime is 645214081. The next prime is 645214109. The reversal of 645214104 is 401412546.

645214104 is a `hidden beast` number, since 645 + 2 + 1 + 4 + 10 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (645214109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1469517 + ... + 1469955.

It is an arithmetic number, because the mean of its divisors is an integer number (18500625).

Almost surely, 2645214104 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 645214104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888030000).

645214104 is an abundant number, since it is smaller than the sum of its proper divisors (1130845896).

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

645214104 is a wasteful number, since it uses less digits than its factorization.

645214104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 645214104 is about 25401.0650170421. The cubic root of 645214104 is about 864.1078504771.

The spelling of 645214104 in words is "six hundred forty-five million, two hundred fourteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 137 149 274 298 411 439 447 548 596 822 878 894 1096 1192 1233 1317 1341 1644 1756 1788 2466 2634 2682 3288 3512 3576 3951 4932 5268 5364 7902 9864 10536 10728 15804 20413 31608 40826 60143 61239 65411 81652 120286 122478 130822 163304 180429 183717 196233 240572 244956 261644 360858 367434 392466 481144 489912 523288 541287 588699 721716 734868 784932 1082574 1177398 1443432 1469736 1569864 2165148 2354796 4330296 4709592 8961307 17922614 26883921 35845228 53767842 71690456 80651763 107535684 161303526 215071368 322607052 645214104