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424676320 = 25517156131
BaseRepresentation
bin11001010100000…
…000101111100000
31002121002210101121
4121110000233200
51332204120240
6110050142024
713344455245
oct3124005740
91077083347
10424676320
111a879a672
12ba281914
1369ca1383
14405895cc
152743a04a
hex19500be0

424676320 has 48 divisors (see below), whose sum is σ = 1062322128. Its totient is φ = 159877120.

The previous prime is 424676267. The next prime is 424676339. The reversal of 424676320 is 23676424.

It is a super-3 number, since 3×4246763203 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 75346 + ... + 80785.

It is an arithmetic number, because the mean of its divisors is an integer number (22131711).

Almost surely, 2424676320 is an apocalyptic number.

424676320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424676320 is an abundant number, since it is smaller than the sum of its proper divisors (637645808).

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

424676320 is a wasteful number, since it uses less digits than its factorization.

424676320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156163 (or 156155 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 34.

The square root of 424676320 is about 20607.6762396928. The cubic root of 424676320 is about 751.6563806593.

The spelling of 424676320 in words is "four hundred twenty-four million, six hundred seventy-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 156131 312262 624524 780655 1249048 1561310 2498096 2654227 3122620 4996192 5308454 6245240 10616908 12490480 13271135 21233816 24980960 26542270 42467632 53084540 84935264 106169080 212338160 424676320