Search a number
-
+
1353407004 = 2232193119469
BaseRepresentation
bin101000010101011…
…0101101000011100
310111022200012101100
41100222311220130
510232433011004
6342144113100
745352525005
oct12052655034
93438605340
101353407004
11634a65794
12319305790
13187517061
14cba641ac
157dc3e739
hex50ab5a1c

1353407004 has 36 divisors (see below), whose sum is σ = 3423059640. Its totient is φ = 450878880.

The previous prime is 1353406987. The next prime is 1353407017. The reversal of 1353407004 is 4007043531.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59782 + ... + 79250.

It is an arithmetic number, because the mean of its divisors is an integer number (95084990).

Almost surely, 21353407004 is an apocalyptic number.

It is an amenable number.

1353407004 is an abundant number, since it is smaller than the sum of its proper divisors (2069652636).

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

1353407004 is a wasteful number, since it uses less digits than its factorization.

1353407004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21410 (or 21405 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 1353407004 is about 36788.6803786165. The cubic root of 1353407004 is about 1106.1384100406.

The spelling of 1353407004 in words is "one billion, three hundred fifty-three million, four hundred seven thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 1931 3862 5793 7724 11586 17379 19469 23172 34758 38938 58407 69516 77876 116814 175221 233628 350442 700884 37594639 75189278 112783917 150378556 225567834 338351751 451135668 676703502 1353407004