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45343760 = 24571117433
BaseRepresentation
bin1010110011111…
…0010000010000
310011022200221112
42230332100100
543102000020
64255512452
71060262360
oct254762020
9104280845
1045343760
1123660490
1213228728
139517c37
1460449a0
153eaa2c5
hex2b3e410

45343760 has 160 divisors (see below), whose sum is σ = 139491072. Its totient is φ = 13271040.

The previous prime is 45343757. The next prime is 45343769. The reversal of 45343760 is 6734354.

It is not an unprimeable number, because it can be changed into a prime (45343769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104504 + ... + 104936.

Almost surely, 245343760 is an apocalyptic number.

45343760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45343760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69745536).

45343760 is an abundant number, since it is smaller than the sum of its proper divisors (94147312).

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

45343760 is a wasteful number, since it uses less digits than its factorization.

45343760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 32.

The square root of 45343760 is about 6733.7775431031. Note that the first 3 decimals coincide. The cubic root of 45343760 is about 356.5927506690.

The spelling of 45343760 in words is "forty-five million, three hundred forty-three thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 16 17 20 22 28 34 35 40 44 55 56 68 70 77 80 85 88 110 112 119 136 140 154 170 176 187 220 238 272 280 308 340 374 385 433 440 476 560 595 616 680 748 770 866 880 935 952 1190 1232 1309 1360 1496 1540 1732 1870 1904 2165 2380 2618 2992 3031 3080 3464 3740 4330 4760 4763 5236 6062 6160 6545 6928 7361 7480 8660 9520 9526 10472 12124 13090 14722 14960 15155 17320 19052 20944 23815 24248 26180 29444 30310 33341 34640 36805 38104 47630 48496 51527 52360 58888 60620 66682 73610 76208 80971 95260 103054 104720 117776 121240 133364 147220 161942 166705 190520 206108 242480 257635 266728 294440 323884 333410 381040 404855 412216 515270 533456 566797 588880 647768 666820 809710 824432 1030540 1133594 1295536 1333640 1619420 2061080 2267188 2667280 2833985 3238840 4122160 4534376 5667970 6477680 9068752 11335940 22671880 45343760