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3874017040 = 24597499229
BaseRepresentation
bin1110011011101000…
…1100111100010000
3100222222122110022121
43212322030330100
530413222021130
61440225344024
7165000413215
oct34672147420
910888573277
103874017040
111708866383
12901498014
134997b149a
1428a71bb0c
1517a18bd7a
hexe6e8cf10

3874017040 has 40 divisors (see below), whose sum is σ = 9099964440. Its totient is φ = 1533628416.

The previous prime is 3874017023. The next prime is 3874017047. The reversal of 3874017040 is 407104783.

3874017040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 308494096 + 3565522944 = 17564^2 + 59712^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 3874016987 and 3874017005.

It is not an unprimeable number, because it can be changed into a prime (3874017047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 241855 + ... + 257374.

It is an arithmetic number, because the mean of its divisors is an integer number (227499111).

Almost surely, 23874017040 is an apocalyptic number.

It is an amenable number.

3874017040 is an abundant number, since it is smaller than the sum of its proper divisors (5225947400).

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

3874017040 is a wasteful number, since it uses less digits than its factorization.

3874017040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499339 (or 499333 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 3874017040 is about 62241.6021644687. The cubic root of 3874017040 is about 1570.5575041459.

The spelling of 3874017040 in words is "three billion, eight hundred seventy-four million, seventeen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 194 388 485 776 970 1552 1940 3880 7760 499229 998458 1996916 2496145 3993832 4992290 7987664 9984580 19969160 39938320 48425213 96850426 193700852 242126065 387401704 484252130 774803408 968504260 1937008520 3874017040