Search a number
-
+
350743464 = 23329750221
BaseRepresentation
bin10100111001111…
…110101110101000
3220102222121120200
4110321332232220
51204242242324
654445352200
711456161461
oct2471765650
9812877520
10350743464
1116aa92835
1299568660
1357886716
1434821d68
1520bd3ec9
hex14e7eba8

350743464 has 48 divisors (see below), whose sum is σ = 959742420. Its totient is φ = 115706880.

The previous prime is 350743433. The next prime is 350743483. The reversal of 350743464 is 464347053.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 333354564 + 17388900 = 18258^2 + 4170^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 18127 + ... + 32094.

Almost surely, 2350743464 is an apocalyptic number.

It is an amenable number.

350743464 is an abundant number, since it is smaller than the sum of its proper divisors (608998956).

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

350743464 is a wasteful number, since it uses less digits than its factorization.

350743464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50330 (or 50323 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 350743464 is about 18728.1463044264. The cubic root of 350743464 is about 705.2285120115.

It can be divided in two parts, 3507 and 43464, that added together give a triangular number (46971 = T306).

The spelling of 350743464 in words is "three hundred fifty million, seven hundred forty-three thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 194 291 388 582 776 873 1164 1746 2328 3492 6984 50221 100442 150663 200884 301326 401768 451989 602652 903978 1205304 1807956 3615912 4871437 9742874 14614311 19485748 29228622 38971496 43842933 58457244 87685866 116914488 175371732 350743464