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464346945 = 33561113499
BaseRepresentation
bin11011101011010…
…101111101000001
31012100202021021000
4123223111331001
51422333100240
6114024322213
714335612116
oct3353257501
91170667230
10464346945
11219125807
1210b613369
137528100a
144595490d
152ab74430
hex1bad5f41

464346945 has 64 divisors (see below), whose sum is σ = 848160000. Its totient is φ = 240952320.

The previous prime is 464346913. The next prime is 464346983. The reversal of 464346945 is 549643464.

It is not a de Polignac number, because 464346945 - 25 = 464346913 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 464346945.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 930306 + ... + 930804.

It is an arithmetic number, because the mean of its divisors is an integer number (13252500).

Almost surely, 2464346945 is an apocalyptic number.

464346945 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

464346945 is a deficient number, since it is larger than the sum of its proper divisors (383813055).

464346945 is a wasteful number, since it uses less digits than its factorization.

464346945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 681 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The square root of 464346945 is about 21548.7109823302. The cubic root of 464346945 is about 774.3682371353.

The spelling of 464346945 in words is "four hundred sixty-four million, three hundred forty-six thousand, nine hundred forty-five".

Divisors: 1 3 5 9 15 27 45 61 113 135 183 305 339 499 549 565 915 1017 1497 1647 1695 2495 2745 3051 4491 5085 6893 7485 8235 13473 15255 20679 22455 30439 34465 56387 62037 67365 91317 103395 152195 169161 186111 273951 281935 310185 456585 507483 821853 845805 930555 1369755 1522449 2537415 3439607 4109265 7612245 10318821 17198035 30956463 51594105 92869389 154782315 464346945