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2354344542 = 23411101103127
BaseRepresentation
bin1000110001010100…
…0111001001011110
320002002010002120000
42030111013021132
514310203011132
61025341435130
7112225412154
oct21425071136
96062102500
102354344542
11aa8a699a0
1255856baa6
132b69c1ba4
141849773d4
15dba5887c
hex8c54725e

2354344542 has 160 divisors (see below), whose sum is σ = 5914681344. Its totient is φ = 694008000.

The previous prime is 2354344537. The next prime is 2354344543. The reversal of 2354344542 is 2454434532.

2354344542 is a `hidden beast` number, since 2 + 35 + 43 + 44 + 542 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2354344497 and 2354344506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2354344543) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18538083 + ... + 18538209.

Almost surely, 22354344542 is an apocalyptic number.

2354344542 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2354344542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2957340672).

2354344542 is an abundant number, since it is smaller than the sum of its proper divisors (3560336802).

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

2354344542 is a wasteful number, since it uses less digits than its factorization.

2354344542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 347 counting only the distinct ones).

The product of its digits is 230400, while the sum is 36.

The square root of 2354344542 is about 48521.5884117575. The cubic root of 2354344542 is about 1330.3216931531.

The spelling of 2354344542 in words is "two billion, three hundred fifty-four million, three hundred forty-four thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 101 103 127 162 198 202 206 254 297 303 309 381 594 606 618 762 891 909 927 1111 1133 1143 1397 1782 1818 1854 2222 2266 2286 2727 2781 2794 3333 3399 3429 4191 5454 5562 6666 6798 6858 8181 8343 8382 9999 10197 10287 10403 12573 12827 13081 16362 16686 19998 20394 20574 20806 25146 25654 26162 29997 30591 31209 37719 38481 39243 59994 61182 62418 75438 76962 78486 89991 91773 93627 113157 114433 115443 117729 141097 143891 179982 183546 187254 226314 228866 230886 235458 280881 282194 287782 343299 346329 353187 423291 431673 561762 686598 692658 706374 842643 846582 863346 1029897 1038987 1059561 1269873 1295019 1321181 1685286 2059794 2077974 2119122 2539746 2590038 2642362 3089691 3809619 3885057 3963543 6179382 7619238 7770114 7927086 9269073 11428857 11655171 11890629 14532991 18538146 22857714 23310342 23781258 29065982 35671887 43598973 71343774 87197946 107015661 130796919 214031322 261593838 392390757 784781514 1177172271 2354344542