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354325400 = 235211132953
BaseRepresentation
bin10101000111101…
…001001110011000
3220200201121001222
4111013221032120
51211201403100
655054231212
711531500442
oct2507511630
9820647058
10354325400
11172009a10
129a7b5508
135853bc00
14350b5492
1521190485
hex151e9398

354325400 has 144 divisors (see below), whose sum is σ = 974167560. Its totient is φ = 118809600.

The previous prime is 354325379. The next prime is 354325409. The reversal of 354325400 is 4523453.

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

It is a self number, because there is not a number n which added to its sum of digits gives 354325400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354325409) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 371324 + ... + 372276.

Almost surely, 2354325400 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 354325400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487083780).

354325400 is an abundant number, since it is smaller than the sum of its proper divisors (619842160).

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

354325400 is a wasteful number, since it uses less digits than its factorization.

354325400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 26.

The square root of 354325400 is about 18823.5331433820. The cubic root of 354325400 is about 707.6210799696.

Adding to 354325400 its reverse (4523453), we get a palindrome (358848853).

The spelling of 354325400 in words is "three hundred fifty-four million, three hundred twenty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 13 20 22 25 26 40 44 50 52 55 65 88 100 104 110 130 143 169 200 220 260 275 286 325 338 440 520 550 572 650 676 715 845 953 1100 1144 1300 1352 1430 1690 1859 1906 2200 2600 2860 3380 3575 3718 3812 4225 4765 5720 6760 7150 7436 7624 8450 9295 9530 10483 12389 14300 14872 16900 18590 19060 20966 23825 24778 28600 33800 37180 38120 41932 46475 47650 49556 52415 61945 74360 83864 92950 95300 99112 104830 123890 136279 161057 185900 190600 209660 247780 262075 272558 309725 322114 371800 419320 495560 524150 545116 619450 644228 681395 805285 1048300 1090232 1238900 1288456 1362790 1610570 1771627 2096600 2477800 2725580 3221140 3406975 3543254 4026425 5451160 6442280 6813950 7086508 8052850 8858135 13627900 14173016 16105700 17716270 27255800 32211400 35432540 44290675 70865080 88581350 177162700 354325400