Search a number
-
+
332609250 = 235317191373
BaseRepresentation
bin10011110100110…
…011011011100010
3212011212022010010
4103310303123202
51140121444000
653000545350
711146063161
oct2364633342
9764768103
10332609250
11160827286
1293482256
1353ba760c
14322613d8
151e300d50
hex13d336e2

332609250 has 128 divisors (see below), whose sum is σ = 925966080. Its totient is φ = 79027200.

The previous prime is 332609209. The next prime is 332609293. The reversal of 332609250 is 52906233.

332609250 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3326092502 = 221257826371125000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 241564 + ... + 242936.

It is an arithmetic number, because the mean of its divisors is an integer number (7234110).

Almost surely, 2332609250 is an apocalyptic number.

332609250 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 332609250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462983040).

332609250 is an abundant number, since it is smaller than the sum of its proper divisors (593356830).

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

332609250 is a wasteful number, since it uses less digits than its factorization.

332609250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 332609250 is about 18237.5779641925. The cubic root of 332609250 is about 692.8588590415.

The spelling of 332609250 in words is "three hundred thirty-two million, six hundred nine thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 19 25 30 34 38 50 51 57 75 85 95 102 114 125 150 170 190 250 255 285 323 375 425 475 510 570 646 750 850 950 969 1275 1373 1425 1615 1938 2125 2375 2550 2746 2850 3230 4119 4250 4750 4845 6375 6865 7125 8075 8238 9690 12750 13730 14250 16150 20595 23341 24225 26087 34325 40375 41190 46682 48450 52174 68650 70023 78261 80750 102975 116705 121125 130435 140046 156522 171625 205950 233410 242250 260870 343250 350115 391305 443479 514875 583525 652175 700230 782610 886958 1029750 1167050 1304350 1330437 1750575 1956525 2217395 2660874 2917625 3260875 3501150 3913050 4434790 5835250 6521750 6652185 8752875 9782625 11086975 13304370 17505750 19565250 22173950 33260925 55434875 66521850 110869750 166304625 332609250