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428035344 = 243111942667
BaseRepresentation
bin11001100000110…
…100110100010000
31002211102110002220
4121200310310100
51334034112334
6110250141040
713415145312
oct3140646420
91084373086
10428035344
111aa684320
12bb421780
136a8a9269
1440bc17b2
15278a0449
hex19834d10

428035344 has 80 divisors (see below), whose sum is σ = 1269799680. Its totient is φ = 122878080.

The previous prime is 428035337. The next prime is 428035379. The reversal of 428035344 is 443530824.

It is a super-4 number, since 4×4280353444 (a number of 36 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 11302 + ... + 31365.

It is an arithmetic number, because the mean of its divisors is an integer number (15872496).

Almost surely, 2428035344 is an apocalyptic number.

428035344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

428035344 is an abundant number, since it is smaller than the sum of its proper divisors (841764336).

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

428035344 is a wasteful number, since it uses less digits than its factorization.

428035344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42708 (or 42702 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The square root of 428035344 is about 20689.0150563046. The cubic root of 428035344 is about 753.6329480593.

The spelling of 428035344 in words is "four hundred twenty-eight million, thirty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 132 152 176 209 228 264 304 418 456 528 627 836 912 1254 1672 2508 3344 5016 10032 42667 85334 128001 170668 256002 341336 469337 512004 682672 810673 938674 1024008 1408011 1621346 1877348 2048016 2432019 2816022 3242692 3754696 4864038 5632044 6485384 7509392 8917403 9728076 11264088 12970768 17834806 19456152 22528176 26752209 35669612 38912304 53504418 71339224 107008836 142678448 214017672 428035344