Search a number
-
+
45340960 = 255740483
BaseRepresentation
bin1010110011110…
…1100100100000
310011022120002211
42230331210200
543101402320
64255451504
71060251250
oct254754440
9104276084
1045340960
1123659375
1213226b94
139516892
146043960
153ea955a
hex2b3d920

45340960 has 48 divisors (see below), whose sum is σ = 122423616. Its totient is φ = 15545088.

The previous prime is 45340931. The next prime is 45340979. The reversal of 45340960 is 6904354.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19122 + ... + 21361.

It is an arithmetic number, because the mean of its divisors is an integer number (2550492).

Almost surely, 245340960 is an apocalyptic number.

45340960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45340960 is an abundant number, since it is smaller than the sum of its proper divisors (77082656).

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

45340960 is a wasteful number, since it uses less digits than its factorization.

45340960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40505 (or 40497 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 45340960 is about 6733.5696328174. The cubic root of 45340960 is about 356.5854105906.

The spelling of 45340960 in words is "forty-five million, three hundred forty thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 40483 80966 161932 202415 283381 323864 404830 566762 647728 809660 1133524 1295456 1416905 1619320 2267048 2833810 3238640 4534096 5667620 6477280 9068192 11335240 22670480 45340960