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1010640324 = 2231941731481
BaseRepresentation
bin111100001111010…
…010010111000100
32121102200211220010
4330033102113010
54032210442244
6244141310220
734021205151
oct7417222704
92542624803
101010640324
11479531041
12242565370
131314c4335
149831b228
155dad3eb9
hex3c3d25c4

1010640324 has 96 divisors (see below), whose sum is σ = 2579391360. Its totient is φ = 306892800.

The previous prime is 1010640313. The next prime is 1010640349. The reversal of 1010640324 is 4230460101.

1010640324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1010640324.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 681664 + ... + 683144.

It is an arithmetic number, because the mean of its divisors is an integer number (26868660).

Almost surely, 21010640324 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 1010640324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289695680).

1010640324 is an abundant number, since it is smaller than the sum of its proper divisors (1568751036).

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

1010640324 is a wasteful number, since it uses less digits than its factorization.

1010640324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1010640324 is about 31790.5697338063. The cubic root of 1010640324 is about 1003.5342688945.

The spelling of 1010640324 in words is "one billion, ten million, six hundred forty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 19 38 41 57 73 76 82 114 123 146 164 219 228 246 292 438 492 779 876 1387 1481 1558 2337 2774 2962 2993 3116 4161 4443 4674 5548 5924 5986 8322 8886 8979 9348 11972 16644 17772 17958 28139 35916 56278 56867 60721 84417 108113 112556 113734 121442 168834 170601 182163 216226 227468 242884 324339 337668 341202 364326 432452 648678 682404 728652 1153699 1297356 2054147 2307398 3461097 4108294 4432633 4614796 6162441 6922194 8216588 8865266 12324882 13297899 13844388 17730532 24649764 26595798 53191596 84220027 168440054 252660081 336880108 505320162 1010640324