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45303104 = 2671129317
BaseRepresentation
bin1010110011010…
…0010101000000
310011020122011202
42230310111000
543044144404
64255000332
71060033010
oct254642500
9104218152
1045303104
1123632990
12132090a8
139502592
146033c40
153e9d21e
hex2b34540

45303104 has 112 divisors (see below), whose sum is σ = 116311680. Its totient is φ = 16988160.

The previous prime is 45303067. The next prime is 45303107. The reversal of 45303104 is 40130354.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45303107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142754 + ... + 143070.

Almost surely, 245303104 is an apocalyptic number.

45303104 is a gapful number since it is divisible by the number (44) 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 45303104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58155840).

45303104 is an abundant number, since it is smaller than the sum of its proper divisors (71008576).

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

45303104 is a wasteful number, since it uses less digits than its factorization.

45303104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 45303104 is about 6730.7580553753. The cubic root of 45303104 is about 356.4861430566.

Adding to 45303104 its reverse (40130354), we get a palindrome (85433458).

The spelling of 45303104 in words is "forty-five million, three hundred three thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 32 44 56 58 64 77 88 112 116 154 176 203 224 232 308 317 319 352 406 448 464 616 634 638 704 812 928 1232 1268 1276 1624 1856 2219 2233 2464 2536 2552 3248 3487 4438 4466 4928 5072 5104 6496 6974 8876 8932 9193 10144 10208 12992 13948 17752 17864 18386 20288 20416 24409 27896 35504 35728 36772 48818 55792 64351 71008 71456 73544 97636 101123 111584 128702 142016 142912 147088 195272 202246 223168 257404 294176 390544 404492 514808 588352 707861 781088 808984 1029616 1415722 1562176 1617968 2059232 2831444 3235936 4118464 5662888 6471872 11325776 22651552 45303104