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930693816 = 233213276487
BaseRepresentation
bin110111011110010…
…100001010111000
32101212021010220100
4313132110022320
53401224200231
6232203555400
732030524023
oct6736241270
92355233810
10930693816
11438397048
1221b82bb60
1311aa82400
148b86a1ba
1556a911e6
hex377942b8

930693816 has 72 divisors (see below), whose sum is σ = 2729474280. Its totient is φ = 286363584.

The previous prime is 930693793. The next prime is 930693817. The reversal of 930693816 is 618396039.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (930693817) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26076 + ... + 50411.

It is an arithmetic number, because the mean of its divisors is an integer number (37909365).

Almost surely, 2930693816 is an apocalyptic number.

It is an amenable number.

930693816 is an abundant number, since it is smaller than the sum of its proper divisors (1798780464).

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

930693816 is a wasteful number, since it uses less digits than its factorization.

930693816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76525 (or 76505 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 930693816 is about 30507.2748045446. The cubic root of 930693816 is about 976.3426834601.

The spelling of 930693816 in words is "nine hundred thirty million, six hundred ninety-three thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1352 1521 2028 3042 4056 6084 12168 76487 152974 229461 305948 458922 611896 688383 917844 994331 1376766 1835688 1988662 2753532 2982993 3977324 5507064 5965986 7954648 8948979 11931972 12926303 17897958 23863944 25852606 35795916 38778909 51705212 71591832 77557818 103410424 116336727 155115636 232673454 310231272 465346908 930693816