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337383424 = 21272412
BaseRepresentation
bin10100000111000…
…001000000000000
3212111211212001101
4110013001000000
51142332232144
653251144144
711234466100
oct2407010000
9774755041
10337383424
11163498184
1294ba5054
1354b89681
1432b45200
151e9456d4
hex141c1000

337383424 has 117 divisors (see below), whose sum is σ = 804446301. Its totient is φ = 141066240.

The previous prime is 337383413. The next prime is 337383433. The reversal of 337383424 is 424383733.

The square root of 337383424 is 18368.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 16257024 + 321126400 = 4032^2 + 17920^2 .

It is a super-2 number, since 2×3373834242 = 227655149579927552, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8228844 + ... + 8228884.

Almost surely, 2337383424 is an apocalyptic number.

337383424 is the 18368-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 337383424

337383424 is an abundant number, since it is smaller than the sum of its proper divisors (467062877).

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

337383424 is an frugal number, since it uses more digits than its factorization.

337383424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 50 counting only the distinct ones).

The product of its digits is 145152, while the sum is 37.

The cubic root of 337383424 is about 696.1581531646.

The spelling of 337383424 in words is "three hundred thirty-seven million, three hundred eighty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 41 49 56 64 82 98 112 128 164 196 224 256 287 328 392 448 512 574 656 784 896 1024 1148 1312 1568 1681 1792 2009 2048 2296 2624 3136 3362 3584 4018 4096 4592 5248 6272 6724 7168 8036 9184 10496 11767 12544 13448 14336 16072 18368 20992 23534 25088 26896 28672 32144 36736 41984 47068 50176 53792 64288 73472 82369 83968 94136 100352 107584 128576 146944 164738 167936 188272 200704 215168 257152 293888 329476 376544 430336 514304 587776 658952 753088 860672 1028608 1175552 1317904 1506176 1721344 2057216 2635808 3012352 3442688 4114432 5271616 6024704 6885376 8228864 10543232 12049408 21086464 24098816 42172928 48197632 84345856 168691712 337383424