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3678040432 = 2411431972467
BaseRepresentation
bin1101101100111010…
…0111000101110000
3100111022212210221201
43123032213011300
530013034243212
61404545100544
7160100553643
oct33316470560
910438783851
103678040432
111618181240
12867927754
134680055b1
1426c6a5a5a
15167d79b57
hexdb3a7170

3678040432 has 80 divisors (see below), whose sum is σ = 7998452352. Its totient is φ = 1624008960.

The previous prime is 3678040403. The next prime is 3678040441. The reversal of 3678040432 is 2340408763.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3678040391 and 3678040400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1489663 + ... + 1492129.

Almost surely, 23678040432 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 3678040432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3999226176).

3678040432 is an abundant number, since it is smaller than the sum of its proper divisors (4320411920).

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

3678040432 is a wasteful number, since it uses less digits than its factorization.

3678040432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2726 (or 2720 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 37.

The square root of 3678040432 is about 60646.8501407946. The cubic root of 3678040432 is about 1543.6144414791.

The spelling of 3678040432 in words is "three billion, six hundred seventy-eight million, forty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 43 44 86 88 172 176 197 344 394 473 688 788 946 1576 1892 2167 2467 3152 3784 4334 4934 7568 8471 8668 9868 16942 17336 19736 27137 33884 34672 39472 54274 67768 93181 106081 108548 135536 186362 212162 217096 372724 424324 434192 485999 745448 848648 971998 1166891 1490896 1697296 1943996 2333782 3887992 4667564 5345989 7775984 9335128 10691978 18670256 20897957 21383956 41795914 42767912 83591828 85535824 167183656 229877527 334367312 459755054 919510108 1839020216 3678040432