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345231936 = 2633728541
BaseRepresentation
bin10100100100111…
…101001001000000
3220001121121012000
4110210331021000
51201334410221
654131304000
711361265050
oct2444751100
9801547160
10345231936
11167968955
129774b000
13566a6b6a
1433bc9560
1520495e26
hex1493d240

345231936 has 112 divisors (see below), whose sum is σ = 1159946880. Its totient is φ = 98634240.

The previous prime is 345231923. The next prime is 345231949. The reversal of 345231936 is 639132543.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (345231923) and next prime (345231949).

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a self number, because there is not a number n which added to its sum of digits gives 345231936.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2175 + ... + 26366.

Almost surely, 2345231936 is an apocalyptic number.

345231936 is a gapful number since it is divisible by the number (36) 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 345231936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579973440).

345231936 is an abundant number, since it is smaller than the sum of its proper divisors (814714944).

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

345231936 is a wasteful number, since it uses less digits than its factorization.

345231936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28569 (or 28553 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 345231936 is about 18580.4180792575. The cubic root of 345231936 is about 701.5150423676.

The spelling of 345231936 in words is "three hundred forty-five million, two hundred thirty-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 28541 57082 85623 114164 171246 199787 228328 256869 342492 399574 456656 513738 599361 684984 770607 799148 913312 1027476 1198722 1369968 1541214 1598296 1798083 1826624 2054952 2397444 2739936 3082428 3196592 3596166 4109904 4794888 5394249 5479872 6164856 6393184 7192332 8219808 9589776 10788498 12329712 12786368 14384664 16439616 19179552 21576996 24659424 28769328 38359104 43153992 49318848 57538656 86307984 115077312 172615968 345231936