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1353983004 = 2232113419149
BaseRepresentation
bin101000010110100…
…0010010000011100
310111100202110111200
41100231002100130
510233104424004
6342204315500
745360444213
oct12055022034
93440673450
101353983004
11635319520
12319542b90
1318768929a
14cbb7407a
157dd05239
hex50b4241c

1353983004 has 36 divisors (see below), whose sum is σ = 3733711800. Its totient is φ = 410297760.

The previous prime is 1353982979. The next prime is 1353983051. The reversal of 1353983004 is 4003893531.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1353983004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1709179 + ... + 1709970.

Almost surely, 21353983004 is an apocalyptic number.

It is an amenable number.

1353983004 is an abundant number, since it is smaller than the sum of its proper divisors (2379728796).

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

1353983004 is a wasteful number, since it uses less digits than its factorization.

1353983004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3419170 (or 3419165 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1353983004 is about 36796.5080408454. The cubic root of 1353983004 is about 1106.2953092234.

The spelling of 1353983004 in words is "one billion, three hundred fifty-three million, nine hundred eighty-three thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 3419149 6838298 10257447 13676596 20514894 30772341 37610639 41029788 61544682 75221278 112831917 123089364 150442556 225663834 338495751 451327668 676991502 1353983004