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340430144 = 2619833373
BaseRepresentation
bin10100010010101…
…000110101000000
3212201120122100212
4110102220311000
51144122231034
653440333252
711302415465
oct2422506500
9781518325
10340430144
1116518922a
1296014228
13556b5372
14332d966c
151ed482ce
hex144a8d40

340430144 has 56 divisors (see below), whose sum is σ = 719876640. Its totient is φ = 159266304.

The previous prime is 340430131. The next prime is 340430173. The reversal of 340430144 is 441034043.

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, 99242 + ... + 102614.

It is an arithmetic number, because the mean of its divisors is an integer number (12854940).

Almost surely, 2340430144 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 340430144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359938320).

340430144 is an abundant number, since it is smaller than the sum of its proper divisors (379446496).

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

340430144 is a wasteful number, since it uses less digits than its factorization.

340430144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3487 (or 3477 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 340430144 is about 18450.7491446824. The cubic root of 340430144 is about 698.2474143637.

Adding to 340430144 its reverse (441034043), we get a palindrome (781464187).

The spelling of 340430144 in words is "three hundred forty million, four hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 83 152 166 304 332 608 664 1216 1328 1577 2656 3154 3373 5312 6308 6746 12616 13492 25232 26984 50464 53968 64087 100928 107936 128174 215872 256348 279959 512696 559918 1025392 1119836 2050784 2239672 4101568 4479344 5319221 8958688 10638442 17917376 21276884 42553768 85107536 170215072 340430144