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3742453104 = 2431319417699
BaseRepresentation
bin1101111100010001…
…0100110101110000
3100122211002022112020
43133010110311300
530131031444404
61415205431440
7161512216665
oct33704246560
910584068466
103742453104
111650576455
1288540b580
13478468bc0
14277071a6c
1516d84eed9
hexdf114d70

3742453104 has 160 divisors (see below), whose sum is σ = 11228448000. Its totient is φ = 1064171520.

The previous prime is 3742453093. The next prime is 3742453109. The reversal of 3742453104 is 4013542473.

3742453104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3742453109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 482247 + ... + 489945.

It is an arithmetic number, because the mean of its divisors is an integer number (70177800).

Almost surely, 23742453104 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 3742453104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5614224000).

3742453104 is an abundant number, since it is smaller than the sum of its proper divisors (7485994896).

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

3742453104 is a wasteful number, since it uses less digits than its factorization.

3742453104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7783 (or 7777 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 3742453104 is about 61175.5923878143. The cubic root of 3742453104 is about 1552.5733325662.

Adding to 3742453104 its reverse (4013542473), we get a palindrome (7755995577).

The spelling of 3742453104 in words is "three billion, seven hundred forty-two million, four hundred fifty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 41 48 52 57 76 78 82 104 114 123 152 156 164 208 228 246 247 304 312 328 456 492 494 533 624 656 741 779 912 984 988 1066 1482 1558 1599 1968 1976 2132 2337 2964 3116 3198 3952 4264 4674 5928 6232 6396 7699 8528 9348 10127 11856 12464 12792 15398 18696 20254 23097 25584 30381 30796 37392 40508 46194 60762 61592 81016 92388 100087 121524 123184 146281 162032 184776 200174 243048 292562 300261 315659 369552 400348 438843 486096 585124 600522 631318 800696 877686 946977 1170248 1201044 1262636 1601392 1755372 1893954 1901653 2340496 2402088 2525272 3510744 3787908 3803306 4103567 4804176 5050544 5704959 5997521 7021488 7575816 7606612 8207134 11409918 11995042 12310701 15151632 15213224 16414268 17992563 22819836 23990084 24621402 30426448 32828536 35985126 45639672 47980168 49242804 65657072 71970252 77967773 91279344 95960336 98485608 143940504 155935546 196971216 233903319 287881008 311871092 467806638 623742184 935613276 1247484368 1871226552 3742453104