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326135808 = 21234983
BaseRepresentation
bin10011011100000…
…111000000000000
3211201200102020000
4103130013000000
51131442321213
652210120000
711040052155
oct2334070000
9751612200
10326135808
11158105729
1291280000
135274bc8b
143145822c
151d972c73
hex13707000

326135808 has 130 divisors (see below), whose sum is σ = 975253224. Its totient is φ = 108601344.

The previous prime is 326135759. The next prime is 326135809. The reversal of 326135808 is 808531623.

326135808 is a `hidden beast` number, since 32 + 613 + 5 + 8 + 0 + 8 = 666.

It is a super-3 number, since 3×3261358083 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (326135809) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 331285 + ... + 332267.

Almost surely, 2326135808 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 326135808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487626612).

326135808 is an abundant number, since it is smaller than the sum of its proper divisors (649117416).

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

326135808 is an frugal number, since it uses more digits than its factorization.

326135808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 326135808 is about 18059.2305483927. The cubic root of 326135808 is about 688.3344326847.

The spelling of 326135808 in words is "three hundred twenty-six million, one hundred thirty-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 983 1024 1152 1296 1536 1728 1966 2048 2304 2592 2949 3072 3456 3932 4096 4608 5184 5898 6144 6912 7864 8847 9216 10368 11796 12288 13824 15728 17694 18432 20736 23592 26541 27648 31456 35388 36864 41472 47184 53082 55296 62912 70776 79623 82944 94368 106164 110592 125824 141552 159246 165888 188736 212328 251648 283104 318492 331776 377472 424656 503296 566208 636984 754944 849312 1006592 1132416 1273968 1509888 1698624 2013184 2264832 2547936 3019776 3397248 4026368 4529664 5095872 6039552 6794496 9059328 10191744 12079104 13588992 18118656 20383488 27177984 36237312 40766976 54355968 81533952 108711936 163067904 326135808