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344870368 = 25191035507
BaseRepresentation
bin10100100011100…
…100110111100000
3220000221020012121
4110203210313200
51201241322433
654115434024
711355230653
oct2443446740
9800836177
10344870368
11167741237
12975b5914
13565ab40b
1433b3389a
1520423c2d
hex148e4de0

344870368 has 48 divisors (see below), whose sum is σ = 721768320. Its totient is φ = 161744256.

The previous prime is 344870333. The next prime is 344870389. The reversal of 344870368 is 863078443.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59871 + ... + 65377.

It is an arithmetic number, because the mean of its divisors is an integer number (15036840).

Almost surely, 2344870368 is an apocalyptic number.

344870368 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344870368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360884160).

344870368 is an abundant number, since it is smaller than the sum of its proper divisors (376897952).

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

344870368 is a wasteful number, since it uses less digits than its factorization.

344870368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5639 (or 5631 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 43.

The square root of 344870368 is about 18570.6857170111. The cubic root of 344870368 is about 701.2700534532.

The spelling of 344870368 in words is "three hundred forty-four million, eight hundred seventy thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 19 32 38 76 103 152 206 304 412 608 824 1648 1957 3296 3914 5507 7828 11014 15656 22028 31312 44056 62624 88112 104633 176224 209266 418532 567221 837064 1134442 1674128 2268884 3348256 4537768 9075536 10777199 18151072 21554398 43108796 86217592 172435184 344870368