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340453728 = 253223103499
BaseRepresentation
bin10100010010101…
…110100101100000
3212201121211201100
4110102232211200
51144124004403
653441034400
711302544316
oct2422564540
9781554640
10340453728
111651a4a1a
1296025a00
13556c3014
14333040b6
151ed502a3
hex144ae960

340453728 has 144 divisors (see below), whose sum is σ = 1022112000. Its totient is φ = 107281152.

The previous prime is 340453721. The next prime is 340453769. The reversal of 340453728 is 827354043.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 340453692 and 340453701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340453721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 682023 + ... + 682521.

It is an arithmetic number, because the mean of its divisors is an integer number (7098000).

Almost surely, 2340453728 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 340453728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511056000).

340453728 is an abundant number, since it is smaller than the sum of its proper divisors (681658272).

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

340453728 is a wasteful number, since it uses less digits than its factorization.

340453728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 340453728 is about 18451.3882404550. The cubic root of 340453728 is about 698.2635381678.

It can be divided in two parts, 34045 and 3728, that added together give a palindrome (37773).

The spelling of 340453728 in words is "three hundred forty million, four hundred fifty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 103 138 144 184 206 207 276 288 309 368 412 414 499 552 618 736 824 828 927 998 1104 1236 1497 1648 1656 1854 1996 2208 2369 2472 2994 3296 3312 3708 3992 4491 4738 4944 5988 6624 7107 7416 7984 8982 9476 9888 11477 11976 14214 14832 15968 17964 18952 21321 22954 23952 28428 29664 34431 35928 37904 42642 45908 47904 51397 56856 68862 71856 75808 85284 91816 102794 103293 113712 137724 143712 154191 170568 183632 205588 206586 227424 275448 308382 341136 367264 411176 413172 462573 550896 616764 682272 822352 826344 925146 1101792 1182131 1233528 1644704 1652688 1850292 2364262 2467056 3305376 3546393 3700584 4728524 4934112 7092786 7401168 9457048 10639179 14185572 14802336 18914096 21278358 28371144 37828192 42556716 56742288 85113432 113484576 170226864 340453728