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1351444644 = 22321125572
BaseRepresentation
bin101000010001101…
…0110100010100100
310111011222111112100
41100203112202210
510231432212034
6342034052100
745330042564
oct12043264244
93434874470
101351444644
11633945400
1231871a030
13186caaab4
14cb6b2da4
157d9a3099
hex508d68a4

1351444644 has 81 divisors (see below), whose sum is σ = 3761697121. Its totient is φ = 408793440.

The previous prime is 1351444639. The next prime is 1351444663. The reversal of 1351444644 is 4464441531.

The square root of 1351444644 is 36762.

It is a perfect power (a square), and thus also a powerful number.

1351444644 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 4 + 4 + 4 + 644 = 666.

It can be written as a sum of positive squares in only one way, i.e., 118592100 + 1232852544 = 10890^2 + 35112^2 .

It is a super-3 number, since 3×13514446443 (a number of 28 digits) contains 333 as substring.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1351444599 and 1351444608.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2426014 + ... + 2426570.

Almost surely, 21351444644 is an apocalyptic number.

1351444644 is the 36762-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1351444644

1351444644 is an abundant number, since it is smaller than the sum of its proper divisors (2410252477).

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

1351444644 is a wasteful number, since it uses less digits than its factorization.

1351444644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 573 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The cubic root of 1351444644 is about 1105.6035397194.

Multiplying 1351444644 by its sum of digits (36), we get a square (48652007184 = 2205722).

1351444644 divided by its sum of digits (36) gives a square (37540129 = 61272).

The spelling of 1351444644 in words is "one billion, three hundred fifty-one million, four hundred forty-four thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 557 726 1089 1114 1452 1671 2178 2228 3342 4356 5013 6127 6684 10026 12254 18381 20052 24508 36762 55143 67397 73524 110286 134794 202191 220572 269588 310249 404382 606573 620498 808764 930747 1213146 1240996 1861494 2426292 2792241 3412739 3722988 5584482 6825478 10238217 11168964 13650956 20476434 30714651 37540129 40952868 61429302 75080258 112620387 122858604 150160516 225240774 337861161 450481548 675722322 1351444644