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345173444 = 227211374327
BaseRepresentation
bin10100100100101…
…110110111000100
3220001111121221122
4110210232313010
51201331022234
654130133112
711360632400
oct2444566704
9801447848
10345173444
11167928a10
1297721198
1356686355
1433bb2100
152048392e
hex1492edc4

345173444 has 72 divisors (see below), whose sum is σ = 787453632. Its totient is φ = 130818240.

The previous prime is 345173431. The next prime is 345173447. The reversal of 345173444 is 444371543.

It is a super-2 number, since 2×3451734442 = 238289412885642272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (345173447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77609 + ... + 81935.

It is an arithmetic number, because the mean of its divisors is an integer number (10936856).

Almost surely, 2345173444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345173444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393726816).

345173444 is an abundant number, since it is smaller than the sum of its proper divisors (442280188).

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

345173444 is a wasteful number, since it uses less digits than its factorization.

345173444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4393 (or 4384 counting only the distinct ones).

The product of its digits is 80640, while the sum is 35.

The square root of 345173444 is about 18578.8439898719. The cubic root of 345173444 is about 701.4754213368.

The spelling of 345173444 in words is "three hundred forty-five million, one hundred seventy-three thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 37 44 49 74 77 98 148 154 196 259 308 407 518 539 814 1036 1078 1628 1813 2156 2849 3626 4327 5698 7252 8654 11396 17308 19943 30289 39886 47597 60578 79772 95194 121156 160099 190388 212023 320198 333179 424046 640396 666358 848092 1120693 1332716 1761089 2241386 2332253 3522178 4482772 4664506 7044356 7844851 9329012 12327623 15689702 24655246 31379404 49310492 86293361 172586722 345173444