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147305304 = 2334317333
BaseRepresentation
bin10001100011110…
…11001101011000
3101021011212220000
420301323031120
5300202232204
622341133000
73436034346
oct1061731530
9337155800
10147305304
1176171723
12413ba160
1324697503
14157c6996
15cdeb039
hex8c7b358

147305304 has 80 divisors (see below), whose sum is σ = 425958720. Its totient is φ = 47511360.

The previous prime is 147305303. The next prime is 147305321. The reversal of 147305304 is 403503741.

147305304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147305303) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16422 + ... + 23754.

It is an arithmetic number, because the mean of its divisors is an integer number (5324484).

Almost surely, 2147305304 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 147305304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212979360).

147305304 is an abundant number, since it is smaller than the sum of its proper divisors (278653416).

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

147305304 is a wasteful number, since it uses less digits than its factorization.

147305304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7382 (or 7369 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 147305304 is about 12136.9396472093. The cubic root of 147305304 is about 528.1283262468.

The spelling of 147305304 in words is "one hundred forty-seven million, three hundred five thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 162 186 216 248 279 324 372 558 648 744 837 1116 1674 2232 2511 3348 5022 6696 7333 10044 14666 20088 21999 29332 43998 58664 65997 87996 131994 175992 197991 227323 263988 395982 454646 527976 593973 681969 791964 909292 1187946 1363938 1583928 1818584 2045907 2375892 2727876 4091814 4751784 5455752 6137721 8183628 12275442 16367256 18413163 24550884 36826326 49101768 73652652 147305304