Search a number
-
+
3392040132 = 22331319127157
BaseRepresentation
bin1100101000101110…
…0110110011000100
322202101201111022000
43022023212303010
523421330241012
61320331105300
7150025602555
oct31213466304
98671644260
103392040132
111490799a58
127a7ba2230
13420999a50
142426d832c
1514cbd3ddc
hexca2e6cc4

3392040132 has 96 divisors (see below), whose sum is σ = 9969187200. Its totient is φ = 988765056.

The previous prime is 3392040131. The next prime is 3392040193. The reversal of 3392040132 is 2310402933.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3392040096 and 3392040105.

It is not an unprimeable number, because it can be changed into a prime (3392040131) 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, 36903 + ... + 90254.

It is an arithmetic number, because the mean of its divisors is an integer number (103845700).

Almost surely, 23392040132 is an apocalyptic number.

It is an amenable number.

3392040132 is an abundant number, since it is smaller than the sum of its proper divisors (6577147068).

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

3392040132 is a wasteful number, since it uses less digits than its factorization.

3392040132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127202 (or 127194 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3392040132 is about 58241.2236478596. The cubic root of 3392040132 is about 1502.5202272649.

The spelling of 3392040132 in words is "three billion, three hundred ninety-two million, forty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 27 36 38 39 52 54 57 76 78 108 114 117 156 171 228 234 247 342 351 468 494 513 684 702 741 988 1026 1404 1482 2052 2223 2964 4446 6669 8892 13338 26676 127157 254314 381471 508628 762942 1144413 1525884 1653041 2288826 2415983 3306082 3433239 4577652 4831966 4959123 6612164 6866478 7247949 9663932 9918246 13732956 14495898 14877369 19836492 21743847 28991796 29754738 31407779 43487694 44632107 59509476 62815558 65231541 86975388 89264214 94223337 125631116 130463082 178528428 188446674 260926164 282670011 376893348 565340022 848010033 1130680044 1696020066 3392040132