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306402426 = 234111391237
BaseRepresentation
bin10010010000110…
…101010001111010
3210100112212010000
4102100311101322
51111414334201
650223133430
710410243351
oct2220652172
9710485100
10306402426
11147a57750
1286744276
134b630015
142c99c998
151bd75d86
hex1243547a

306402426 has 80 divisors (see below), whose sum is σ = 754981920. Its totient is φ = 92106720.

The previous prime is 306402403. The next prime is 306402427. The reversal of 306402426 is 624204603.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 306402426.

It is not an unprimeable number, because it can be changed into a prime (306402427) 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 39 ways as a sum of consecutive naturals, for example, 247080 + ... + 248316.

It is an arithmetic number, because the mean of its divisors is an integer number (9437274).

Almost surely, 2306402426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306402426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377490960).

306402426 is an abundant number, since it is smaller than the sum of its proper divisors (448579494).

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

306402426 is a wasteful number, since it uses less digits than its factorization.

306402426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 306402426 is about 17504.3544868127. The cubic root of 306402426 is about 674.1616852137.

It can be divided in two parts, 3064024 and 26, that added together give a triangular number (3064050 = T2475).

The spelling of 306402426 in words is "three hundred six million, four hundred two thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 139 162 198 278 297 417 594 834 891 1237 1251 1529 1782 2474 2502 3058 3711 3753 4587 7422 7506 9174 11133 11259 13607 13761 22266 22518 27214 27522 33399 40821 41283 66798 81642 82566 100197 122463 123849 171943 200394 244926 247698 343886 367389 515829 734778 1031658 1102167 1547487 1891373 2204334 3094974 3782746 4642461 5674119 9284922 11348238 13927383 17022357 27854766 34044714 51067071 102134142 153201213 306402426