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903426104 = 237174761331
BaseRepresentation
bin110101110110010…
…011000000111000
32022221221210122002
4311312103000320
53322234113404
6225351320132
731246665230
oct6566230070
92287853562
10903426104
11423a62449
12212680048
13115225c79
1487daccc0
15544a6c1e
hex35d93038

903426104 has 128 divisors (see below), whose sum is σ = 2134149120. Its totient is φ = 349747200.

The previous prime is 903426101. The next prime is 903426107. The reversal of 903426104 is 401624309.

It is an interprime number because it is at equal distance from previous prime (903426101) and next prime (903426107).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (903426101) 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, 2729219 + ... + 2729549.

It is an arithmetic number, because the mean of its divisors is an integer number (16673040).

Almost surely, 2903426104 is an apocalyptic number.

903426104 is a gapful number since it is divisible by the number (94) 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 903426104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067074560).

903426104 is an abundant number, since it is smaller than the sum of its proper divisors (1230723016).

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

903426104 is a wasteful number, since it uses less digits than its factorization.

903426104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 903426104 is about 30057.0474930589. The cubic root of 903426104 is about 966.7129692182.

The spelling of 903426104 in words is "nine hundred three million, four hundred twenty-six thousand, one hundred four".

Divisors: 1 2 4 7 8 14 17 28 34 47 56 61 68 94 119 122 136 188 238 244 329 331 376 427 476 488 658 662 799 854 952 1037 1316 1324 1598 1708 2074 2317 2632 2648 2867 3196 3416 4148 4634 5593 5627 5734 6392 7259 8296 9268 11186 11254 11468 14518 15557 18536 20069 20191 22372 22508 22936 29036 31114 39389 40138 40382 44744 45016 48739 58072 62228 78778 80276 80764 97478 108899 124456 141337 157556 160552 161528 194956 217798 264469 282674 315112 341173 343247 389912 435596 528938 565348 682346 686494 871192 948977 1057876 1130696 1364692 1372988 1851283 1897954 2115752 2402729 2729384 2745976 3702566 3795908 4805458 6642839 7405132 7591816 9610916 13285678 14810264 16132609 19221832 26571356 32265218 53142712 64530436 112928263 129060872 225856526 451713052 903426104