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53346304 = 2171137
BaseRepresentation
bin1100101110000…
…0000000000000
310201101021101001
43023200000000
5102124040204
65143221344
71215302404
oct313400000
9121337331
1053346304
1128126960
1215a47854
13b08a57b
147129104
154a3b4a4
hex32e0000

53346304 has 72 divisors (see below), whose sum is σ = 119537208. Its totient is φ = 23592960.

The previous prime is 53346301. The next prime is 53346317. The reversal of 53346304 is 40364335.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53346301) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1441774 + ... + 1441810.

It is an arithmetic number, because the mean of its divisors is an integer number (1660239).

Almost surely, 253346304 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 53346304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59768604).

53346304 is an abundant number, since it is smaller than the sum of its proper divisors (66190904).

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

53346304 is an frugal number, since it uses more digits than its factorization.

53346304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 28.

The square root of 53346304 is about 7303.8554202558. The cubic root of 53346304 is about 376.4449237407. Note that the first 3 decimals are identical.

The spelling of 53346304 in words is "fifty-three million, three hundred forty-six thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 128 148 176 256 296 352 407 512 592 704 814 1024 1184 1408 1628 2048 2368 2816 3256 4096 4736 5632 6512 8192 9472 11264 13024 16384 18944 22528 26048 32768 37888 45056 52096 65536 75776 90112 104192 131072 151552 180224 208384 303104 360448 416768 606208 720896 833536 1212416 1441792 1667072 2424832 3334144 4849664 6668288 13336576 26673152 53346304