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340438032 = 243311312311
BaseRepresentation
bin10100010010101…
…010110000010000
3212201121001012000
4110102222300100
51144123004112
653440434000
711302450464
oct2422526020
9781531160
10340438032
11165194150
1296018900
13556b8b2c
14332dc4a4
151ed4a7dc
hex144aac10

340438032 has 160 divisors (see below), whose sum is σ = 1100881920. Its totient is φ = 99792000.

The previous prime is 340438003. The next prime is 340438057. The reversal of 340438032 is 230834043.

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 = 340437987 and 340438005.

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, 146157 + ... + 148467.

It is an arithmetic number, because the mean of its divisors is an integer number (6880512).

Almost surely, 2340438032 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 340438032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550440960).

340438032 is an abundant number, since it is smaller than the sum of its proper divisors (760443888).

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

340438032 is a wasteful number, since it uses less digits than its factorization.

340438032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2370 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 340438032 is about 18450.9629017024. The cubic root of 340438032 is about 698.2528072793.

The spelling of 340438032 in words is "three hundred forty million, four hundred thirty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 31 33 36 44 48 54 62 66 72 88 93 99 108 124 132 144 176 186 198 216 248 264 279 297 341 372 396 432 496 528 558 594 682 744 792 837 1023 1116 1188 1364 1488 1584 1674 2046 2232 2311 2376 2728 3069 3348 4092 4464 4622 4752 5456 6138 6696 6933 8184 9207 9244 12276 13392 13866 16368 18414 18488 20799 24552 25421 27732 36828 36976 41598 49104 50842 55464 62397 71641 73656 76263 83196 101684 110928 124794 143282 147312 152526 166392 203368 214923 228789 249588 286564 305052 332784 406736 429846 457578 499176 573128 610104 644769 686367 788051 859692 915156 998352 1146256 1220208 1289538 1372734 1576102 1719384 1830312 1934307 2364153 2579076 2745468 3152204 3438768 3660624 3868614 4728306 5158152 5490936 6304408 7092459 7737228 9456612 10316304 10981872 12608816 14184918 15474456 18913224 21277377 28369836 30948912 37826448 42554754 56739672 85109508 113479344 170219016 340438032