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3694840140 = 2235471518677
BaseRepresentation
bin1101110000111010…
…1100100101001100
3100112111111022211010
43130032230211030
530031334341030
61410345125220
7160363423455
oct33416544514
910474438733
103694840140
1116267060a2
12871489810
1346b638154
142709da12c
151695976b0
hexdc3ac94c

3694840140 has 96 divisors (see below), whose sum is σ = 10636867584. Its totient is φ = 957830400.

The previous prime is 3694840133. The next prime is 3694840141. The reversal of 3694840140 is 410484963.

It is a happy number.

3694840140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3694840141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 421482 + ... + 430158.

It is an arithmetic number, because the mean of its divisors is an integer number (110800704).

Almost surely, 23694840140 is an apocalyptic number.

3694840140 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 3694840140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5318433792).

3694840140 is an abundant number, since it is smaller than the sum of its proper divisors (6942027444).

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

3694840140 is a wasteful number, since it uses less digits than its factorization.

3694840140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8887 (or 8885 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 3694840140 is about 60785.1967176220. The cubic root of 3694840140 is about 1545.9610614391.

The spelling of 3694840140 in words is "three billion, six hundred ninety-four million, eight hundred forty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 151 188 235 282 302 453 470 564 604 705 755 906 940 1410 1510 1812 2265 2820 3020 4530 7097 8677 9060 14194 17354 21291 26031 28388 34708 35485 42582 43385 52062 70970 85164 86770 104124 106455 130155 141940 173540 212910 260310 407819 425820 520620 815638 1223457 1310227 1631276 2039095 2446914 2620454 3930681 4078190 4893828 5240908 6117285 6551135 7861362 8156380 12234570 13102270 15722724 19653405 24469140 26204540 39306810 61580669 78613620 123161338 184742007 246322676 307903345 369484014 615806690 738968028 923710035 1231613380 1847420070 3694840140