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57344420 = 22573173181
BaseRepresentation
bin1101101011000…
…0000110100100
310222220101202102
43122300012210
5104140010140
65405031232
71264263620
oct332600644
9128811672
1057344420
112a407791
1217255518
13bb5a313
14788a180
15507ae15
hex36b01a4

57344420 has 96 divisors (see below), whose sum is σ = 144807936. Its totient is φ = 18662400.

The previous prime is 57344411. The next prime is 57344423. The reversal of 57344420 is 2444375.

It is not an unprimeable number, because it can be changed into a prime (57344423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 316730 + ... + 316910.

It is an arithmetic number, because the mean of its divisors is an integer number (1508416).

Almost surely, 257344420 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 57344420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72403968).

57344420 is an abundant number, since it is smaller than the sum of its proper divisors (87463516).

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

57344420 is a wasteful number, since it uses less digits than its factorization.

57344420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 29.

The square root of 57344420 is about 7572.6098539407. The cubic root of 57344420 is about 385.6237037276.

Adding to 57344420 its reverse (2444375), we get a palindrome (59788795).

The spelling of 57344420 in words is "fifty-seven million, three hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 73 124 140 146 155 181 217 292 310 362 365 434 511 620 724 730 868 905 1022 1085 1267 1460 1810 2044 2170 2263 2534 2555 3620 4340 4526 5068 5110 5611 6335 9052 10220 11222 11315 12670 13213 15841 22444 22630 25340 26426 28055 31682 39277 45260 52852 56110 63364 66065 78554 79205 92491 112220 132130 157108 158410 184982 196385 264260 316820 369964 392770 409603 462455 785540 819206 924910 1638412 1849820 2048015 2867221 4096030 5734442 8192060 11468884 14336105 28672210 57344420