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343554031040 = 26511498719571
BaseRepresentation
bin1001111111111010110…
…10100111110111000000
31012211202212112001021212
410333331122213313000
521112044312443130
6421454311105252
733551406036563
oct4777532476700
91184685461255
10343554031040
11122778326480
12566bb672228
13265212b78cc
14128b17344da
158e0b1c6e95
hex4ffd6a7dc0

343554031040 has 112 divisors (see below), whose sum is σ = 892684243584. Its totient is φ = 124897305600.

The previous prime is 343554031039. The next prime is 343554031057. The reversal of 343554031040 is 40130455343.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 343554030988 and 343554031006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17544455 + ... + 17564025.

It is an arithmetic number, because the mean of its divisors is an integer number (7970395032).

Almost surely, 2343554031040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343554031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446342121792).

343554031040 is an abundant number, since it is smaller than the sum of its proper divisors (549130212544).

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

343554031040 is a wasteful number, since it uses less digits than its factorization.

343554031040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24586 (or 24576 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

Adding to 343554031040 its reverse (40130455343), we get a palindrome (383684486383).

The spelling of 343554031040 in words is "three hundred forty-three billion, five hundred fifty-four million, thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1760 3520 4987 9974 19571 19948 24935 39142 39896 49870 54857 78284 79792 97855 99740 109714 156568 159584 195710 199480 215281 219428 274285 313136 319168 391420 398960 430562 438856 548570 626272 782840 797920 861124 877712 1076405 1097140 1252544 1565680 1595840 1722248 1755424 2152810 2194280 3131360 3444496 3510848 4305620 4388560 6262720 6888992 8611240 8777120 13777984 17222480 17554240 34444960 68889920 97600577 195201154 390402308 488002885 780804616 976005770 1073606347 1561609232 1952011540 2147212694 3123218464 3904023080 4294425388 5368031735 6246436928 7808046160 8588850776 10736063470 15616092320 17177701552 21472126940 31232184640 34355403104 42944253880 68710806208 85888507760 171777015520 343554031040