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993235404 = 2237172330241
BaseRepresentation
bin111011001100111…
…001000111001100
32120012221120211110
4323030321013030
54013232013104
6242320252020
733420235020
oct7314710714
92505846743
10993235404
1146a723507
12238771010
1312aa0c175
1495caa380
155c2e6e89
hex3b3391cc

993235404 has 96 divisors (see below), whose sum is σ = 2926457856. Its totient is φ = 255467520.

The previous prime is 993235391. The next prime is 993235417. The reversal of 993235404 is 404532399.

It is an interprime number because it is at equal distance from previous prime (993235391) and next prime (993235417).

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, 17724 + ... + 47964.

It is an arithmetic number, because the mean of its divisors is an integer number (30483936).

Almost surely, 2993235404 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 993235404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463228928).

993235404 is an abundant number, since it is smaller than the sum of its proper divisors (1933222452).

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

993235404 is a wasteful number, since it uses less digits than its factorization.

993235404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30295 (or 30293 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The square root of 993235404 is about 31515.6374519063. The cubic root of 993235404 is about 997.7400310546.

The spelling of 993235404 in words is "nine hundred ninety-three million, two hundred thirty-five thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 17 21 23 28 34 42 46 51 68 69 84 92 102 119 138 161 204 238 276 322 357 391 476 483 644 714 782 966 1173 1428 1564 1932 2346 2737 4692 5474 8211 10948 16422 30241 32844 60482 90723 120964 181446 211687 362892 423374 514097 635061 695543 846748 1028194 1270122 1391086 1542291 2056388 2086629 2540244 2782172 3084582 3598679 4173258 4868801 6169164 7197358 8346516 9737602 10796037 11824231 14394716 14606403 19475204 21592074 23648462 29212806 35472693 43184148 47296924 58425612 70945386 82769617 141890772 165539234 248308851 331078468 496617702 993235404