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38220240 = 2435163977
BaseRepresentation
bin1001000111001…
…1000111010000
32122220210022110
42101303013100
534241021430
63443105320
7642603162
oct221630720
978823273
1038220240
111a635483
1210972240
137bc2736
14510c932
15354e7b0
hex24731d0

38220240 has 80 divisors (see below), whose sum is σ = 119331648. Its totient is φ = 10119168.

The previous prime is 38220211. The next prime is 38220251. The reversal of 38220240 is 4202283.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 38632 + ... + 39608.

Almost surely, 238220240 is an apocalyptic number.

38220240 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 38220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59665824).

38220240 is an abundant number, since it is smaller than the sum of its proper divisors (81111408).

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

38220240 is a wasteful number, since it uses less digits than its factorization.

38220240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 38220240 is about 6182.2520168625. The cubic root of 38220240 is about 336.8457999526.

The spelling of 38220240 in words is "thirty-eight million, two hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 163 240 326 489 652 815 977 978 1304 1630 1954 1956 2445 2608 2931 3260 3908 3912 4885 4890 5862 6520 7816 7824 9770 9780 11724 13040 14655 15632 19540 19560 23448 29310 39080 39120 46896 58620 78160 117240 159251 234480 318502 477753 637004 796255 955506 1274008 1592510 1911012 2388765 2548016 3185020 3822024 4777530 6370040 7644048 9555060 12740080 19110120 38220240