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350775441 = 3420812
BaseRepresentation
bin10100111010000…
…110100010010001
3220110001020110000
4110322012202101
51204244303231
654450200213
711456353632
oct2472064221
9813036400
10350775441
11170004865
1299583069
1357898143
143482d889
1520bdd6e6
hex14e86891

350775441 has 15 divisors (see below), whose sum is σ = 524249803. Its totient is φ = 233737920.

The previous prime is 350775431. The next prime is 350775443. The reversal of 350775441 is 144577053.

It is a happy number.

The square root of 350775441 is 18729.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 132917841 + 217857600 = 11529^2 + 14760^2 .

It is not a de Polignac number, because 350775441 - 25 = 350775409 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 350775396 and 350775405.

It is not an unprimeable number, because it can be changed into a prime (350775443) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 167521 + ... + 169601.

Almost surely, 2350775441 is an apocalyptic number.

350775441 is the 18729-th square number.

350775441 is the 9365-th centered octagonal number.

It is an amenable number.

350775441 is a deficient number, since it is larger than the sum of its proper divisors (173474362).

350775441 is an frugal number, since it uses more digits than its factorization.

350775441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4174 (or 2084 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The cubic root of 350775441 is about 705.2499430660.

Multiplying 350775441 by its sum of digits (36), we get a square (12627915876 = 1123742).

The spelling of 350775441 in words is "three hundred fifty million, seven hundred seventy-five thousand, four hundred forty-one".

Divisors: 1 3 9 27 81 2081 6243 18729 56187 168561 4330561 12991683 38975049 116925147 350775441