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645364104 = 23373117127
BaseRepresentation
bin100110011101110…
…111100110001000
31122222100220010020
4212131313212020
52310203122404
6144012220440
721664335000
oct4635674610
91588326106
10645364104
11301322670
1216016a720
13a391cb68
14619d5000
153b9cded9
hex26777988

645364104 has 128 divisors (see below), whose sum is σ = 2052864000. Its totient is φ = 167603520.

The previous prime is 645364091. The next prime is 645364117. The reversal of 645364104 is 401463546.

It is an interprime number because it is at equal distance from previous prime (645364091) and next prime (645364117).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86989 + ... + 94115.

It is an arithmetic number, because the mean of its divisors is an integer number (16038000).

Almost surely, 2645364104 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 645364104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026432000).

645364104 is an abundant number, since it is smaller than the sum of its proper divisors (1407499896).

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

645364104 is a wasteful number, since it uses less digits than its factorization.

645364104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7168 (or 7150 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 645364104 is about 25404.0174775566. The cubic root of 645364104 is about 864.1748081653.

The spelling of 645364104 in words is "six hundred forty-five million, three hundred sixty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 49 56 66 77 84 88 98 132 147 154 168 196 231 264 294 308 343 392 462 539 588 616 686 924 1029 1078 1176 1372 1617 1848 2058 2156 2744 3234 3773 4116 4312 6468 7127 7546 8232 11319 12936 14254 15092 21381 22638 28508 30184 42762 45276 49889 57016 78397 85524 90552 99778 149667 156794 171048 199556 235191 299334 313588 349223 399112 470382 548779 598668 627176 698446 940764 1047669 1097558 1197336 1396892 1646337 1881528 2095338 2195116 2444561 2793784 3292674 3841453 4190676 4390232 4889122 6585348 7333683 7682906 8381352 9778244 11524359 13170696 14667366 15365812 19556488 23048718 26890171 29334732 30731624 46097436 53780342 58669464 80670513 92194872 107560684 161341026 215121368 322682052 645364104