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352253000 = 235311311033
BaseRepresentation
bin10100111111101…
…111010001001000
3220112211022021102
4110333233101020
51210134044000
654542000532
711505046451
oct2477572110
9815738242
10352253000
11170923990
1299b76148
1357c94838
1434ad6128
1520dd13d5
hex14fef448

352253000 has 128 divisors (see below), whose sum is σ = 929111040. Its totient is φ = 123840000.

The previous prime is 352252997. The next prime is 352253023. The reversal of 352253000 is 352253.

It is a hoax number, since the sum of its digits (20) 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 (20).

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, 340484 + ... + 341516.

It is an arithmetic number, because the mean of its divisors is an integer number (7258680).

Almost surely, 2352253000 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 352253000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464555520).

352253000 is an abundant number, since it is smaller than the sum of its proper divisors (576858040).

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

352253000 is a wasteful number, since it uses less digits than its factorization.

352253000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 352253000 is about 18768.4043008456. The cubic root of 352253000 is about 706.2387890773.

352253000 divided by its reverse (352253) gives a cube (1000 = 103).

It can be divided in two parts, 352 and 253000, that added together give a palindrome (253352).

The spelling of 352253000 in words is "three hundred fifty-two million, two hundred fifty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 31 40 44 50 55 62 88 100 110 124 125 155 200 220 248 250 275 310 341 440 500 550 620 682 775 1000 1033 1100 1240 1364 1375 1550 1705 2066 2200 2728 2750 3100 3410 3875 4132 5165 5500 6200 6820 7750 8264 8525 10330 11000 11363 13640 15500 17050 20660 22726 25825 31000 32023 34100 41320 42625 45452 51650 56815 64046 68200 85250 90904 103300 113630 128092 129125 160115 170500 206600 227260 256184 258250 284075 320230 341000 352253 454520 516500 568150 640460 704506 800575 1033000 1136300 1280920 1409012 1420375 1601150 1761265 2272600 2818024 2840750 3202300 3522530 4002875 5681500 6404600 7045060 8005750 8806325 11363000 14090120 16011500 17612650 32023000 35225300 44031625 70450600 88063250 176126500 352253000