Search a number
-
+
3673706740 = 22511236831063
BaseRepresentation
bin1101101011111000…
…0101000011110100
3100111000201122020121
43122332011003310
530010432103430
61404312141324
7160015664164
oct33276050364
910430648217
103673706740
111615791280
12866397844
13467148b92
1426bc985a4
151677c0a7a
hexdaf850f4

3673706740 has 96 divisors (see below), whose sum is σ = 8803178496. Its totient is φ = 1274739840.

The previous prime is 3673706737. The next prime is 3673706767. The reversal of 3673706740 is 476073763.

It is a super-2 number, since 2×36737067402 = 26992242423042855200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

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 31 ways as a sum of consecutive naturals, for example, 3455449 + ... + 3456511.

It is an arithmetic number, because the mean of its divisors is an integer number (91699776).

Almost surely, 23673706740 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 3673706740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4401589248).

3673706740 is an abundant number, since it is smaller than the sum of its proper divisors (5129471756).

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

3673706740 is a wasteful number, since it uses less digits than its factorization.

3673706740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 43.

The square root of 3673706740 is about 60611.1106976270. The cubic root of 3673706740 is about 1543.0079429240.

The spelling of 3673706740 in words is "three billion, six hundred seventy-three million, seven hundred six thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 683 1012 1063 1265 1366 2126 2530 2732 3415 4252 5060 5315 6830 7513 10630 11693 13660 15026 15709 21260 23386 24449 30052 31418 37565 46772 48898 58465 62836 75130 78545 97796 116930 122245 150260 157090 172799 233860 244490 268939 314180 345598 488980 537878 691196 726029 863995 1075756 1344695 1452058 1727990 2689390 2904116 3455980 3630145 5378780 7260290 7986319 14520580 15972638 16698667 31945276 33397334 39931595 66794668 79863190 83493335 159726380 166986670 183685337 333973340 367370674 734741348 918426685 1836853370 3673706740