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305690004 = 223337227337
BaseRepresentation
bin10010001110000…
…111010110010100
3210022012122212000
4102032013112110
51111224040004
650155555300
710401215334
oct2216072624
9708178760
10305690004
11147610474
128645bb30
134b440979
142c8550c4
151bc84c39
hex12387594

305690004 has 96 divisors (see below), whose sum is σ = 819960960. Its totient is φ = 98413056.

The previous prime is 305689999. The next prime is 305690009. The reversal of 305690004 is 400096503.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (305689999) and next prime (305690009).

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 305690004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305690009) 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 31 ways as a sum of consecutive naturals, for example, 906924 + ... + 907260.

It is an arithmetic number, because the mean of its divisors is an integer number (8541260).

Almost surely, 2305690004 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 305690004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409980480).

305690004 is an abundant number, since it is smaller than the sum of its proper divisors (514270956).

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

305690004 is a wasteful number, since it uses less digits than its factorization.

305690004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 305690004 is about 17483.9927934096. The cubic root of 305690004 is about 673.6387777574.

The spelling of 305690004 in words is "three hundred five million, six hundred ninety thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 227 333 337 444 454 666 674 681 908 999 1011 1332 1348 1362 1998 2022 2043 2724 3033 3996 4044 4086 6066 6129 8172 8399 9099 12132 12258 12469 16798 18198 24516 24938 25197 33596 36396 37407 49876 50394 74814 75591 76499 100788 112221 149628 151182 152998 224442 226773 229497 302364 305996 336663 448884 453546 458994 673326 688491 907092 917988 1346652 1376982 2065473 2753964 2830463 4130946 5660926 8261892 8491389 11321852 16982778 25474167 33965556 50948334 76422501 101896668 152845002 305690004