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344042304 = 2638321589
BaseRepresentation
bin10100100000011…
…010101101000000
3212222101011022120
4110200122231000
51201033323204
654050004240
711345211534
oct2440325500
9788334276
10344042304
11167226091
1297276680
135637b538
1433999bc4
152030d6d9
hex1481ab40

344042304 has 56 divisors (see below), whose sum is σ = 921288480. Its totient is φ = 113293824.

The previous prime is 344042299. The next prime is 344042327. The reversal of 344042304 is 403240443.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5142 + ... + 26730.

It is an arithmetic number, because the mean of its divisors is an integer number (16451580).

Almost surely, 2344042304 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 344042304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460644240).

344042304 is an abundant number, since it is smaller than the sum of its proper divisors (577246176).

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

344042304 is a wasteful number, since it uses less digits than its factorization.

344042304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21687 (or 21677 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 344042304 is about 18548.3773953411. The cubic root of 344042304 is about 700.7083333325.

Adding to 344042304 its reverse (403240443), we get a palindrome (747282747).

The spelling of 344042304 in words is "three hundred forty-four million, forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 166 192 249 332 498 664 996 1328 1992 2656 3984 5312 7968 15936 21589 43178 64767 86356 129534 172712 259068 345424 518136 690848 1036272 1381696 1791887 2072544 3583774 4145088 5375661 7167548 10751322 14335096 21502644 28670192 43005288 57340384 86010576 114680768 172021152 344042304