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340511444 = 2271337131193
BaseRepresentation
bin10100010010111…
…100101011010100
3212201201202212222
4110102330223110
51144132331234
653442201512
711303204510
oct2422745324
9781652788
10340511444
11165234319
1296053298
1355713380
143331b140
151ed6242e
hex144bcad4

340511444 has 96 divisors (see below), whose sum is σ = 762913536. Its totient is φ = 129392640.

The previous prime is 340511443. The next prime is 340511449. The reversal of 340511444 is 444115043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340511443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1764212 + ... + 1764404.

It is an arithmetic number, because the mean of its divisors is an integer number (7947016).

Almost surely, 2340511444 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 340511444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381456768).

340511444 is an abundant number, since it is smaller than the sum of its proper divisors (422402092).

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

340511444 is a wasteful number, since it uses less digits than its factorization.

340511444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 340511444 is about 18452.9521757360. The cubic root of 340511444 is about 698.3029940447.

Adding to 340511444 its reverse (444115043), we get a palindrome (784626487).

The spelling of 340511444 in words is "three hundred forty million, five hundred eleven thousand, four hundred forty-four".

Divisors: 1 2 4 7 13 14 26 28 37 52 74 91 131 148 182 193 259 262 364 386 481 518 524 772 917 962 1036 1351 1703 1834 1924 2509 2702 3367 3406 3668 4847 5018 5404 6734 6812 7141 9694 10036 11921 13468 14282 17563 19388 23842 25283 28564 33929 35126 47684 49987 50566 63011 67858 70252 92833 99974 101132 126022 135716 176981 185666 199948 252044 328679 353962 371332 441077 649831 657358 707924 882154 935471 1299662 1314716 1764308 1870942 2300753 2599324 3741884 4601506 6548297 9203012 12161123 13096594 24322246 26193188 48644492 85127861 170255722 340511444