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344400126 = 2373712357
BaseRepresentation
bin10100100001110…
…010000011111110
3220000001100011020
4110201302003332
51201131301001
654101405010
711351232000
oct2441620376
9800040136
10344400126
1116744aa04
1297409766
1356475375
1433a50370
152037e736
hex148720fe

344400126 has 64 divisors (see below), whose sum is σ = 814924800. Its totient is φ = 96972960.

The previous prime is 344400113. The next prime is 344400131. The reversal of 344400126 is 621004443.

It is a super-2 number, since 2×3444001262 = 237222893577631752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 344400096 and 344400105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144940 + ... + 147296.

It is an arithmetic number, because the mean of its divisors is an integer number (12733200).

Almost surely, 2344400126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344400126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407462400).

344400126 is an abundant number, since it is smaller than the sum of its proper divisors (470524674).

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

344400126 is a wasteful number, since it uses less digits than its factorization.

344400126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2454 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 344400126 is about 18558.0205302182. The cubic root of 344400126 is about 700.9511736081.

Adding to 344400126 its reverse (621004443), we get a palindrome (965404569).

The spelling of 344400126 in words is "three hundred forty-four million, four hundred thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 42 49 71 98 142 147 213 294 343 426 497 686 994 1029 1491 2058 2357 2982 3479 4714 6958 7071 10437 14142 16499 20874 24353 32998 48706 49497 73059 98994 115493 146118 167347 230986 334694 346479 502041 692958 808451 1004082 1171429 1616902 2342858 2425353 3514287 4850706 7028574 8200003 16400006 24600009 49200018 57400021 114800042 172200063 344400126