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1645130352 = 2431917310427
BaseRepresentation
bin110001000001110…
…1011001001110000
311020122121021120210
41202003223021300
511332123132402
6431124504120
755524243255
oct14203531160
94218537523
101645130352
117746a6868
1239ab4b040
13202aa7818
141186c142c
159966606c
hex620eb270

1645130352 has 80 divisors (see below), whose sum is σ = 4499890560. Its totient is φ = 516462336.

The previous prime is 1645130339. The next prime is 1645130359. The reversal of 1645130352 is 2530315461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1645130359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152563 + ... + 162989.

It is an arithmetic number, because the mean of its divisors is an integer number (56248632).

Almost surely, 21645130352 is an apocalyptic number.

1645130352 is a gapful number since it is divisible by the number (12) 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 1645130352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2249945280).

1645130352 is an abundant number, since it is smaller than the sum of its proper divisors (2854760208).

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

1645130352 is a wasteful number, since it uses less digits than its factorization.

1645130352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10630 (or 10624 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 1645130352 is about 40560.2065083500. The cubic root of 1645130352 is about 1180.5021208823.

The spelling of 1645130352 in words is "one billion, six hundred forty-five million, one hundred thirty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 173 228 304 346 456 519 692 912 1038 1384 2076 2768 3287 4152 6574 8304 9861 10427 13148 19722 20854 26296 31281 39444 41708 52592 62562 78888 83416 125124 157776 166832 198113 250248 396226 500496 594339 792452 1188678 1584904 1803871 2377356 3169808 3607742 4754712 5411613 7215484 9509424 10823226 14430968 21646452 28861936 34273549 43292904 68547098 86585808 102820647 137094196 205641294 274188392 411282588 548376784 822565176 1645130352