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353223364 = 221329241197
BaseRepresentation
bin10101000011011…
…100001011000100
3220121122121100211
4111003130023010
51210411121424
655014445204
711516230504
oct2503341304
9817577324
10353223364
11171426a3a
129a363804
1358244410
1434ca9a04
1521023b94
hex150dc2c4

353223364 has 72 divisors (see below), whose sum is σ = 709837128. Its totient is φ = 152785920.

The previous prime is 353223347. The next prime is 353223391. The reversal of 353223364 is 463322353.

It can be written as a sum of positive squares in 12 ways, for example, as 88510464 + 264712900 = 9408^2 + 16270^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1792914 + ... + 1793110.

It is an arithmetic number, because the mean of its divisors is an integer number (9858849).

Almost surely, 2353223364 is an apocalyptic number.

It is an amenable number.

353223364 is an abundant number, since it is smaller than the sum of its proper divisors (356613764).

353223364 is a wasteful number, since it uses less digits than its factorization.

353223364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 282 counting only the distinct ones).

The product of its digits is 38880, while the sum is 31.

The square root of 353223364 is about 18794.2375211127. The cubic root of 353223364 is about 706.8866949632.

It can be divided in two parts, 3532 and 23364, that added together give a square (26896 = 1642).

The spelling of 353223364 in words is "three hundred fifty-three million, two hundred twenty-three thousand, three hundred sixty-four".

Divisors: 1 2 4 13 26 29 41 52 58 82 116 164 197 377 394 533 754 788 841 1066 1189 1508 1682 2132 2378 2561 3364 4756 5122 5713 8077 10244 10933 11426 15457 16154 21866 22852 30914 32308 34481 43732 61828 68962 74269 105001 137924 148538 165677 210002 234233 297076 331354 420004 448253 468466 662708 896506 936932 1793012 2153801 3045029 4307602 6090058 6792757 8615204 12180116 13585514 27171028 88305841 176611682 353223364