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38403420 = 223511311877
BaseRepresentation
bin1001001001111…
…1110101011100
32200021002120220
42102133311130
534312402140
63451041340
7644265216
oct222376534
980232526
1038403420
111a750070
1210a40250
137c57c23
1451595b6
153588bd0
hex249fd5c

38403420 has 96 divisors (see below), whose sum is σ = 121153536. Its totient is φ = 9004800.

The previous prime is 38403361. The next prime is 38403433. The reversal of 38403420 is 2430483.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19522 + ... + 21398.

It is an arithmetic number, because the mean of its divisors is an integer number (1262016).

Almost surely, 238403420 is an apocalyptic number.

38403420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38403420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60576768).

38403420 is an abundant number, since it is smaller than the sum of its proper divisors (82750116).

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

38403420 is a wasteful number, since it uses less digits than its factorization.

38403420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931 (or 1929 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 38403420 is about 6197.0492978514. The cubic root of 38403420 is about 337.3830815863.

It can be divided in two parts, 3840 and 3420, that added together give a triangular number (7260 = T120).

The spelling of 38403420 in words is "thirty-eight million, four hundred three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 31 33 44 55 60 62 66 93 110 124 132 155 165 186 220 310 330 341 372 465 620 660 682 930 1023 1364 1705 1860 1877 2046 3410 3754 4092 5115 5631 6820 7508 9385 10230 11262 18770 20460 20647 22524 28155 37540 41294 56310 58187 61941 82588 103235 112620 116374 123882 174561 206470 232748 247764 290935 309705 349122 412940 581870 619410 640057 698244 872805 1163740 1238820 1280114 1745610 1920171 2560228 3200285 3491220 3840342 6400570 7680684 9600855 12801140 19201710 38403420