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350466072 = 233113735879
BaseRepresentation
bin10100111000111…
…011000000011000
3220102110112001220
4110320323000120
51204204403242
654435412040
711453624655
oct2470730030
9812415056
10350466072
1116a913390
1299454020
13577ba398
143478cc2c
1520b7bbec
hex14e3b018

350466072 has 64 divisors (see below), whose sum is σ = 981676800. Its totient is φ = 103328640.

The previous prime is 350466059. The next prime is 350466107. The reversal of 350466072 is 270664053.

350466072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8172 + ... + 27707.

It is an arithmetic number, because the mean of its divisors is an integer number (15338700).

Almost surely, 2350466072 is an apocalyptic number.

It is an amenable number.

350466072 is an abundant number, since it is smaller than the sum of its proper divisors (631210728).

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

350466072 is a wasteful number, since it uses less digits than its factorization.

350466072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35936 (or 35932 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 350466072 is about 18720.7390879741. The cubic root of 350466072 is about 705.0425486115.

The spelling of 350466072 in words is "three hundred fifty million, four hundred sixty-six thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 222 264 296 407 444 814 888 1221 1628 2442 3256 4884 9768 35879 71758 107637 143516 215274 287032 394669 430548 789338 861096 1184007 1327523 1578676 2368014 2655046 3157352 3982569 4736028 5310092 7965138 9472056 10620184 14602753 15930276 29205506 31860552 43808259 58411012 87616518 116822024 175233036 350466072