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993379104 = 25323449233
BaseRepresentation
bin111011001101011…
…100001100100000
32120020012212221200
4323031130030200
54013301112404
6242323321200
733421403664
oct7315341440
92506185850
10993379104
1146a811473
12238820200
1312aa5c6b3
1495d068a4
155c324839
hex3b35c320

993379104 has 36 divisors (see below), whose sum is σ = 2824922646. Its totient is φ = 331126272.

The previous prime is 993379081. The next prime is 993379151. The reversal of 993379104 is 401973399.

It can be written as a sum of positive squares in only one way, i.e., 511664400 + 481714704 = 22620^2 + 21948^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 993379104.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1724329 + ... + 1724904.

Almost surely, 2993379104 is an apocalyptic number.

It is an amenable number.

993379104 is an abundant number, since it is smaller than the sum of its proper divisors (1831543542).

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

993379104 is a wasteful number, since it uses less digits than its factorization.

993379104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3449249 (or 3449238 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 993379104 is about 31517.9171900683. The cubic root of 993379104 is about 997.7881459755.

The spelling of 993379104 in words is "nine hundred ninety-three million, three hundred seventy-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3449233 6898466 10347699 13796932 20695398 27593864 31043097 41390796 55187728 62086194 82781592 110375456 124172388 165563184 248344776 331126368 496689552 993379104