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340405632 = 2733714071
BaseRepresentation
bin10100010010100…
…010110110000000
3212201112101202000
4110102202312000
51144120440012
653440024000
711302254150
oct2422426600
9781471660
10340405632
11165171876
1296002000
13556a7168
14332d0760
151ed40ddc
hex144a2d80

340405632 has 128 divisors (see below), whose sum is σ = 1148275200. Its totient is φ = 97251840.

The previous prime is 340405621. The next prime is 340405651. The reversal of 340405632 is 236504043.

340405632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 340405596 and 340405605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17157 + ... + 31227.

It is an arithmetic number, because the mean of its divisors is an integer number (8970900).

Almost surely, 2340405632 is an apocalyptic number.

340405632 is a gapful number since it is divisible by the number (32) 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 340405632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574137600).

340405632 is an abundant number, since it is smaller than the sum of its proper divisors (807869568).

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

340405632 is a wasteful number, since it uses less digits than its factorization.

340405632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14101 (or 14083 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 340405632 is about 18450.0848778535. The cubic root of 340405632 is about 698.2306553196.

Adding to 340405632 its reverse (236504043), we get a palindrome (576909675).

The spelling of 340405632 in words is "three hundred forty million, four hundred five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1512 1728 2016 2688 3024 3456 4032 6048 8064 12096 14071 24192 28142 42213 56284 84426 98497 112568 126639 168852 196994 225136 253278 295491 337704 379917 393988 450272 506556 590982 675408 759834 787976 886473 900544 1013112 1181964 1350816 1519668 1575952 1772946 1801088 2026224 2363928 2659419 2701632 3039336 3151904 3545892 4052448 4727856 5318838 5403264 6078672 6303808 7091784 8104896 9455712 10637676 12157344 12607616 14183568 16209792 18911424 21275352 24314688 28367136 37822848 42550704 48629376 56734272 85101408 113468544 170202816 340405632