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1352113326 = 2321783139383
BaseRepresentation
bin101000010010111…
…1001110010101110
310111020020110210100
41100211321302232
510232120111301
6342100251530
745335526234
oct12045716256
93436213710
101352113326
11634261833
123189a0ba6
13187183275
14cb808954
157da86286
hex50979cae

1352113326 has 96 divisors (see below), whose sum is σ = 3170119680. Its totient is φ = 414980352.

The previous prime is 1352113291. The next prime is 1352113381. The reversal of 1352113326 is 6233112531.

1352113326 is a `hidden beast` number, since 1 + 3 + 521 + 133 + 2 + 6 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1352113326.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3530131 + ... + 3530513.

It is an arithmetic number, because the mean of its divisors is an integer number (33022080).

Almost surely, 21352113326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1352113326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585059840).

1352113326 is an abundant number, since it is smaller than the sum of its proper divisors (1818006354).

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

1352113326 is a wasteful number, since it uses less digits than its factorization.

1352113326 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 627 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 1352113326 is about 36771.0936198531. The cubic root of 1352113326 is about 1105.7858570370.

Adding to 1352113326 its reverse (6233112531), we get a palindrome (7585225857).

The spelling of 1352113326 in words is "one billion, three hundred fifty-two million, one hundred thirteen thousand, three hundred twenty-six".

Divisors: 1 2 3 6 9 17 18 34 51 83 102 139 153 166 249 278 306 383 417 498 747 766 834 1149 1251 1411 1494 2298 2363 2502 2822 3447 4233 4726 6511 6894 7089 8466 11537 12699 13022 14178 19533 21267 23074 25398 31789 34611 39066 42534 53237 58599 63578 69222 95367 103833 106474 117198 159711 190734 196129 207666 286101 319422 392258 479133 540413 572202 588387 905029 958266 1080826 1176774 1621239 1765161 1810058 2715087 3242478 3530322 4418671 4863717 5430174 8145261 8837342 9727434 13256013 16290522 26512026 39768039 75117407 79536078 150234814 225352221 450704442 676056663 1352113326