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38040320 = 285113263
BaseRepresentation
bin1001000100011…
…1001100000000
32122120122111202
42101013030000
534214242240
63435200332
7641223503
oct221071400
978518452
1038040320
111a52228a
12108a60a8
137b5b886
1450a313a
153516315
hex2447300

38040320 has 72 divisors (see below), whose sum is σ = 92274336. Its totient is φ = 15024128.

The previous prime is 38040313. The next prime is 38040341. The reversal of 38040320 is 2304083.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 38040292 and 38040301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144509 + ... + 144771.

It is an arithmetic number, because the mean of its divisors is an integer number (1281588).

Almost surely, 238040320 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 38040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46137168).

38040320 is an abundant number, since it is smaller than the sum of its proper divisors (54234016).

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

38040320 is a wasteful number, since it uses less digits than its factorization.

38040320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 38040320 is about 6167.6835197666. The cubic root of 38040320 is about 336.3164064106.

The spelling of 38040320 in words is "thirty-eight million, forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 113 128 160 226 256 263 320 452 526 565 640 904 1052 1130 1280 1315 1808 2104 2260 2630 3616 4208 4520 5260 7232 8416 9040 10520 14464 16832 18080 21040 28928 29719 33664 36160 42080 59438 67328 72320 84160 118876 144640 148595 168320 237752 297190 336640 475504 594380 951008 1188760 1902016 2377520 3804032 4755040 7608064 9510080 19020160 38040320