Search a number
-
+
1353646644 = 223730835227
BaseRepresentation
bin101000010101111…
…0000001000110100
310111100010101002220
41100223300020310
510233013143034
6342153202340
745354543450
oct12053601064
93440111086
101353646644
11635109839
123194003b0
1318759c15c
14cbac7660
157dc8a749
hex50af0234

1353646644 has 48 divisors (see below), whose sum is σ = 3611586048. Its totient is φ = 386556768.

The previous prime is 1353646643. The next prime is 1353646649. The reversal of 1353646644 is 4466463531.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1353646596 and 1353646605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353646643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256359 + ... + 261585.

It is an arithmetic number, because the mean of its divisors is an integer number (75241376).

Almost surely, 21353646644 is an apocalyptic number.

1353646644 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1353646644 is an abundant number, since it is smaller than the sum of its proper divisors (2257939404).

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

1353646644 is a wasteful number, since it uses less digits than its factorization.

1353646644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8324 (or 8322 counting only the distinct ones).

The product of its digits is 622080, while the sum is 42.

The square root of 1353646644 is about 36791.9372145583. The cubic root of 1353646644 is about 1106.2036920448.

The spelling of 1353646644 in words is "one billion, three hundred fifty-three million, six hundred forty-six thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 3083 5227 6166 9249 10454 12332 15681 18498 20908 21581 31362 36589 36996 43162 62724 64743 73178 86324 109767 129486 146356 219534 258972 439068 16114841 32229682 48344523 64459364 96689046 112803887 193378092 225607774 338411661 451215548 676823322 1353646644