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645104340 = 2232519533559
BaseRepresentation
bin100110011100111…
…000001011010100
31122221212200210100
4212130320023110
52310121314330
6144002454100
721662203446
oct4634701324
91587780710
10645104340
11301165491
12160064330
13a385b85a
1461968496
153b97c060
hex267382d4

645104340 has 144 divisors (see below), whose sum is σ = 2099260800. Its totient is φ = 159853824.

The previous prime is 645104329. The next prime is 645104351. The reversal of 645104340 is 43401546.

645104340 is a `hidden beast` number, since 645 + 10 + 4 + 3 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (645104329) and next prime (645104351).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 179481 + ... + 183039.

It is an arithmetic number, because the mean of its divisors is an integer number (14578200).

Almost surely, 2645104340 is an apocalyptic number.

645104340 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 645104340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049630400).

645104340 is an abundant number, since it is smaller than the sum of its proper divisors (1454156460).

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

645104340 is a wasteful number, since it uses less digits than its factorization.

645104340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3646 (or 3641 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 645104340 is about 25398.9043070759. The cubic root of 645104340 is about 864.0588469435.

Adding to 645104340 its reverse (43401546), we get a palindrome (688505886).

The spelling of 645104340 in words is "six hundred forty-five million, one hundred four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 53 57 60 76 90 95 106 114 159 171 180 190 212 228 265 285 318 342 380 477 530 570 636 684 795 855 954 1007 1060 1140 1590 1710 1908 2014 2385 3021 3180 3420 3559 4028 4770 5035 6042 7118 9063 9540 10070 10677 12084 14236 15105 17795 18126 20140 21354 30210 32031 35590 36252 42708 45315 53385 60420 64062 67621 71180 90630 106770 128124 135242 160155 181260 188627 202863 213540 270484 320310 338105 377254 405726 565881 608589 640620 676210 754508 811452 943135 1014315 1131762 1217178 1352420 1697643 1886270 2028630 2263524 2434356 2829405 3042945 3395286 3583913 3772540 4057260 5658810 6085890 6790572 7167826 8488215 10751739 11317620 12171780 14335652 16976430 17919565 21503478 32255217 33952860 35839130 43006956 53758695 64510434 71678260 107517390 129020868 161276085 215034780 322552170 645104340