Search a number
-
+
344705436 = 22337734129
BaseRepresentation
bin10100100010111…
…100100110011100
3220000121211222000
4110202330212130
51201221033221
654112122300
711353643055
oct2442744634
9800554860
10344705436
11167639329
1297536390
135655131a
1433acd72c
15203dee26
hex148bc99c

344705436 has 48 divisors (see below), whose sum is σ = 895053600. Its totient is φ = 114725376.

The previous prime is 344705423. The next prime is 344705443. The reversal of 344705436 is 634507443.

It is a happy number.

344705436 is a `hidden beast` number, since 3 + 44 + 70 + 543 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 344705436.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81420 + ... + 85548.

It is an arithmetic number, because the mean of its divisors is an integer number (18646950).

Almost surely, 2344705436 is an apocalyptic number.

344705436 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

344705436 is an abundant number, since it is smaller than the sum of its proper divisors (550348164).

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

344705436 is a wasteful number, since it uses less digits than its factorization.

344705436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4915 (or 4907 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 344705436 is about 18566.2445314070. The cubic root of 344705436 is about 701.1582430202.

The spelling of 344705436 in words is "three hundred forty-four million, seven hundred five thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 773 1546 2319 3092 4129 4638 6957 8258 9276 12387 13914 16516 20871 24774 27828 37161 41742 49548 74322 83484 111483 148644 222966 445932 3191717 6383434 9575151 12766868 19150302 28725453 38300604 57450906 86176359 114901812 172352718 344705436