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344689164 = 2232471012017
BaseRepresentation
bin10100100010111…
…000101000001100
3220000121000122100
4110202320220030
51201220023124
654111515100
711353544451
oct2442705014
9800530570
10344689164
11167628086
1297528a90
1356546ab1
1433ac7828
15203da1c9
hex148b8a0c

344689164 has 72 divisors (see below), whose sum is σ = 899091648. Its totient is φ = 111283200.

The previous prime is 344689153. The next prime is 344689181. The reversal of 344689164 is 461986443.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169884 + ... + 171900.

It is an arithmetic number, because the mean of its divisors is an integer number (12487384).

Almost surely, 2344689164 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 344689164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449545824).

344689164 is an abundant number, since it is smaller than the sum of its proper divisors (554402484).

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

344689164 is a wasteful number, since it uses less digits than its factorization.

344689164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2175 (or 2170 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 344689164 is about 18565.8063116041. The cubic root of 344689164 is about 701.1472099997.

The spelling of 344689164 in words is "three hundred forty-four million, six hundred eighty-nine thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 101 141 188 202 282 303 404 423 564 606 846 909 1212 1692 1818 2017 3636 4034 4747 6051 8068 9494 12102 14241 18153 18988 24204 28482 36306 42723 56964 72612 85446 94799 170892 189598 203717 284397 379196 407434 568794 611151 814868 853191 1137588 1222302 1706382 1833453 2444604 3412764 3666906 7333812 9574699 19149398 28724097 38298796 57448194 86172291 114896388 172344582 344689164