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34308352 = 2813361
BaseRepresentation
bin1000001011100…
…0000100000000
32101120001012201
42002320010000
532240331402
63223202544
7564421231
oct202700400
971501181
1034308352
1118403411
12b5a6454
137153000
1447b1088
15302a687
hex20b8100

34308352 has 72 divisors (see below), whose sum is σ = 75403160. Its totient is φ = 15575040.

The previous prime is 34308347. The next prime is 34308353. The reversal of 34308352 is 25380343.

It can be written as a sum of positive squares in 4 ways, for example, as 20647936 + 13660416 = 4544^2 + 3696^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34308352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34308353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 562402 + ... + 562462.

Almost surely, 234308352 is an apocalyptic number.

34308352 is a gapful number since it is divisible by the number (32) 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 34308352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37701580).

34308352 is an abundant number, since it is smaller than the sum of its proper divisors (41094808).

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

34308352 is an frugal number, since it uses more digits than its factorization.

34308352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 34308352 is about 5857.3331815767. Note that the first 3 decimals coincide. The cubic root of 34308352 is about 324.9375880154.

Adding to 34308352 its reverse (25380343), we get a palindrome (59688695).

The spelling of 34308352 in words is "thirty-four million, three hundred eight thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 61 64 104 122 128 169 208 244 256 338 416 488 676 793 832 976 1352 1586 1664 1952 2197 2704 3172 3328 3904 4394 5408 6344 7808 8788 10309 10816 12688 15616 17576 20618 21632 25376 35152 41236 43264 50752 70304 82472 101504 134017 140608 164944 203008 268034 281216 329888 536068 562432 659776 1072136 1319552 2144272 2639104 4288544 8577088 17154176 34308352