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1364233290 = 235737337521
BaseRepresentation
bin101000101010000…
…1000110001001010
310112002001020020220
41101110020301022
510243220431130
6343212130510
745543535350
oct12124106112
93462036226
101364233290
1164008a732
12320a66a36
13189837a44
14cd2817d0
157eb7c410
hex51508c4a

1364233290 has 128 divisors (see below), whose sum is σ = 3861831168. Its totient is φ = 301916160.

The previous prime is 1364233267. The next prime is 1364233291. The reversal of 1364233290 is 923324631.

It is a super-3 number, since 3×13642332903 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1364233291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2618230 + ... + 2618750.

It is an arithmetic number, because the mean of its divisors is an integer number (30170556).

Almost surely, 21364233290 is an apocalyptic number.

1364233290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1364233290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930915584).

1364233290 is an abundant number, since it is smaller than the sum of its proper divisors (2497597878).

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

1364233290 is a wasteful number, since it uses less digits than its factorization.

1364233290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912.

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 1364233290 is about 36935.5288306530. The cubic root of 1364233290 is about 1109.0800184996.

The spelling of 1364233290 in words is "one billion, three hundred sixty-four million, two hundred thirty-three thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 42 70 74 105 111 185 210 222 259 337 370 518 521 555 674 777 1011 1042 1110 1295 1554 1563 1685 2022 2359 2590 2605 3126 3370 3647 3885 4718 5055 5210 7077 7294 7770 7815 10110 10941 11795 12469 14154 15630 18235 19277 21882 23590 24938 35385 36470 37407 38554 54705 57831 62345 70770 74814 87283 96385 109410 115662 124690 134939 174566 175577 187035 192770 261849 269878 289155 351154 374070 404817 436415 523698 526731 578310 674695 809634 872830 877885 1053462 1229039 1309245 1349390 1755770 2024085 2458078 2618490 2633655 3687117 4048170 5267310 6145195 6496349 7374234 12290390 12992698 18435585 19489047 32481745 36871170 38978094 45474443 64963490 90948886 97445235 136423329 194890470 227372215 272846658 454744430 682116645 1364233290