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1346034304 = 27291133209
BaseRepresentation
bin101000000111010…
…1101101010000000
310110210210121221101
41100032231222000
510224041044204
6341322104144
745233050156
oct12016555200
93423717841
101346034304
1163088a54a
1231694b054
13185b35304
14caaa53d6
157d284ea4
hex503ada80

1346034304 has 64 divisors (see below), whose sum is σ = 2799441000. Its totient is φ = 643858432.

The previous prime is 1346034281. The next prime is 1346034307. The reversal of 1346034304 is 4034306431.

It can be written as a sum of positive squares in 4 ways, for example, as 820707904 + 525326400 = 28648^2 + 22920^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1346034307) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 417852 + ... + 421060.

Almost surely, 21346034304 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 1346034304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399720500).

1346034304 is an abundant number, since it is smaller than the sum of its proper divisors (1453406696).

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

1346034304 is a wasteful number, since it uses less digits than its factorization.

1346034304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3365 (or 3353 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The square root of 1346034304 is about 36688.3401641448. The cubic root of 1346034304 is about 1104.1261845547.

The spelling of 1346034304 in words is "one billion, three hundred forty-six million, thirty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 29 32 58 64 113 116 128 226 232 452 464 904 928 1808 1856 3209 3277 3616 3712 6418 6554 7232 12836 13108 14464 25672 26216 51344 52432 93061 102688 104864 186122 205376 209728 362617 372244 410752 419456 725234 744488 1450468 1488976 2900936 2977952 5801872 5955904 10515893 11603744 11911808 21031786 23207488 42063572 46414976 84127144 168254288 336508576 673017152 1346034304