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245330652 = 223723143313
BaseRepresentation
bin11101001111101…
…11001011011100
3122002122002101110
432213313023130
51000301040102
640202142020
76036163500
oct1647671334
9562562343
10245330652
11116534606
126a1b1910
133ba99288
1424822300
151681086c
hexe9f72dc

245330652 has 144 divisors (see below), whose sum is σ = 705610752. Its totient is φ = 66044160.

The previous prime is 245330651. The next prime is 245330669. The reversal of 245330652 is 256033542.

245330652 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245330651) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 783648 + ... + 783960.

Almost surely, 2245330652 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 245330652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352805376).

245330652 is an abundant number, since it is smaller than the sum of its proper divisors (460280100).

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

245330652 is a wasteful number, since it uses less digits than its factorization.

245330652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 245330652 is about 15663.0345718829. The cubic root of 245330652 is about 626.0138442093.

The spelling of 245330652 in words is "two hundred forty-five million, three hundred thirty thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 43 49 62 84 86 93 98 124 129 147 172 186 196 217 258 294 301 313 372 434 516 588 602 626 651 868 903 939 1204 1252 1302 1333 1519 1806 1878 2107 2191 2604 2666 3038 3612 3756 3999 4214 4382 4557 5332 6076 6321 6573 7998 8428 8764 9114 9331 9703 12642 13146 13459 15337 15996 18228 18662 19406 25284 26292 26918 27993 29109 30674 37324 38812 40377 46011 53836 55986 58218 61348 65317 67921 80754 92022 94213 111972 116436 130634 135842 161508 184044 188426 195951 203763 261268 271684 282639 376852 391902 407526 417229 475447 565278 659491 783804 815052 834458 950894 1130556 1251687 1318982 1426341 1668916 1901788 1978473 2503374 2637964 2852682 2920603 3956946 5006748 5705364 5841206 7913892 8761809 11682412 17523618 20444221 35047236 40888442 61332663 81776884 122665326 245330652