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352474540 = 2251123411699
BaseRepresentation
bin10101000000100…
…101010110101100
3220120020120011121
4111000211112230
51210213141130
654550430324
711506661365
oct2500452654
9816216147
10352474540
11170a65380
129a0623a4
1358041622
1434b52b6c
1520e26d7a
hex150255ac

352474540 has 96 divisors (see below), whose sum is σ = 863654400. Its totient is φ = 119539200.

The previous prime is 352474511. The next prime is 352474541. The reversal of 352474540 is 45474253.

352474540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 352474496 and 352474505.

It is not an unprimeable number, because it can be changed into a prime (352474541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206611 + ... + 208309.

It is an arithmetic number, because the mean of its divisors is an integer number (8996400).

Almost surely, 2352474540 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 352474540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431827200).

352474540 is an abundant number, since it is smaller than the sum of its proper divisors (511179860).

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

352474540 is a wasteful number, since it uses less digits than its factorization.

352474540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 34.

The square root of 352474540 is about 18774.3053133798. The cubic root of 352474540 is about 706.3868146463.

The spelling of 352474540 in words is "three hundred fifty-two million, four hundred seventy-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 41 44 46 55 82 92 110 115 164 205 220 230 253 410 451 460 506 820 902 943 1012 1265 1699 1804 1886 2255 2530 3398 3772 4510 4715 5060 6796 8495 9020 9430 10373 16990 18689 18860 20746 33980 37378 39077 41492 51865 69659 74756 78154 93445 103730 139318 156308 186890 195385 207460 278636 348295 373780 390770 429847 696590 766249 781540 859694 1393180 1532498 1602157 1719388 2149235 3064996 3204314 3831245 4298470 6408628 7662490 8010785 8596940 15324980 16021570 17623727 32043140 35247454 70494908 88118635 176237270 352474540